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Standing waves for a gauged nonlinear Schrödinger equation with a vortex point. Commun. Contemp. Math. 18 (2016), no. 4, 1550074, 20 pp.
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Large solutions and gradient bounds for quasilinear elliptic equations. Comm. Partial Differential Equations 41 (2016), no. 6, 952–998.
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R. López-Soriano y D. Ruiz:
Prescribing the Gaussian curvature in a subdomain of S2 with Neumann boundary condition. J. Geom. Anal. 26 (2016), no. 1, 630–644.
https://doi.org/10.1007/s12220-015-9566-x│
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Gelfand type problem for singular quadratic quasilinear equations. NoDEA Nonlinear Differential Equations Appl. 23 (2016), no. 5, Art. 56, 20 pp.
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A. Molino y J.D. Rossi:
Nonlocal diffusion problems that approximate a parabolic equation with spatial dependence. Z. Angew. Math. Phys. 67 (2016), no. 3, Art. 41, 14 pp.
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The obstacle problem for the infinity fractional laplacian. Rend. Circ. Mat. Palermo, II. Ser. (2016).
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Estimates of the extremal solution for the bilaplacian with general nonlinearity. J. Math. Anal. Appl. 443 (2016), no. 1, 313–321.
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S. Villegas:
Dichotomy of stable radial solutions of −Δu=f(u) outside a ball. Calc. Var. Partial Differential Equations 55 (2016), no. 3, Art. 57, 13 pp.
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S. Villegas:
Non-energy semi-stable radial solutions. Commun. Contemp. Math. 18 (2016), no. 3, 1550044, 11 pp.
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D. Arcoya y L. Boccardo:
Regularizing effect of the interplay between coefficients in some elliptic equations. J. Funct. Anal. 268 (2015), no. 5, 1153–1166.
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D. Arcoya, C. De Coster, L. Jeanjean y K. Tanaka:
Continuum of solutions for an elliptic problem with critical growth in the gradient. J. Funct. Anal. 268 (2015), no. 8, 2298–2335.
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Zbl 1322.35025
L. Battaglia, A. Jevnikar, A. Malchiodi y D. Ruiz:
A general existence result for the Toda system on compact surfaces. Adv. Math. 285 (2015), 937–979.
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L. Boccardo y L.Moreno-Mérida:
W{1,1}(Ω) solutions for nonlinear problems with nonhomogeneous Neumann boundary conditions. Milan J. Math. 83 (2015), no. 2, 279–293.
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L. Boccardo, L.Moreno-Mérida y L. Orsina:
A class of quasilinear Dirichlet problems with unbounded coefficients and singular quadratic lower order terms. Milan J. Math. 83 (2015), no. 1, 157–176.
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S. Calogero y T. Leonori:
Ground states of self-gravitating elastic bodies. Calc. Var. Partial Differential Equations 54 (2015), no. 1, 881–899.
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A. Cañada y S. Villegas:
A variational approach to Lyapunov type inequalities. From ODEs to PDEs. With a foreword by Jean Mawhin. SpringerBriefs in Mathematics. Springer, Cham, 2015. xviii+120 pp.
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A. Cañada y S. Villegas:
Matrix Lyapunov inequalities for ordinary and elliptic partial differential equations. Topol. Methods Nonlinear Anal. 45 (2015), no. 2, 309–326.
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J. Carmona, P. J. Martínez-Aparicio y J. Rossi:
A singular elliptic equation with natural growth in the gradient and a variable exponent. NoDEA Nonlinear Differential Equations Appl. 22 (2015), no. 6, 1935–1948.
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T. D'Aprile, A. Pistoia y D. Ruiz:
A continuum of solutions for the SU(3) Toda system exhibiting partial blow-up. Proc. Lond. Math. Soc. (3) 111 (2015), no. 4, 797–830.
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T. Leonori, I. Peral-Alonso, A. Primo-Ramos y F. Soria:
Basic estimates for solution of a class of nonlocal elliptic and parabolic equations. Discrete Contin. Dyn. Syst. 35 (2015), no. 12, 6031–6068.
https://doi.org/10.3934/dcds.2015.35.6031│
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A. Malchiodi y D. Ruiz:
On the Leray-Schauder degree of the Toda system on compact surfaces. Proc. Amer. Math. Soc. 143 (2015), no. 7, 2985–2990.
https://doi.org/10.1090/S0002-9939-2015-12484-7│
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A. Pomponio y D. Ruiz:
A variational analysis of a gauged nonlinear Schrödinger equation. J. Eur. Math. Soc. (JEMS) 17 (2015), no. 6, 1463–1486.
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A. Pomponio y D. Ruiz:
Boundary concentration of a gauged nonlinear Schrödinger equation on large balls. Calc. Var. Partial Differential Equations 53 (2015), no. 1-2, 289–316.
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D. Arcoya, J. Carmona y P. J. Martínez-Aparicio:
Gelfand type quasilinear elliptic problems with quadratic gradient terms. Ann. Inst. H. Poincaré Anal. Non Linéaire 31 (2014), no. 2, 249–265.
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D. Arcoya, C. De Coster, L. Jeanjean y K. Tanaka:
Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions. J. Math. Anal. Appl. 420 (2014), no. 1, 772–780.
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Zbl 1296.35068
D. Arcoya y L. Moreno-Mérida:
Multiplicity of solutions for a Dirichlet problem with a strongly singular nonlinearity. Nonlinear Anal. 95 (2014), 281–291.
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L. Boccardo y L. Moreno-Mérida:
Existence and regularity results for p-Laplacian boundary value problems. SeMA J. 66 (2014), 9–27.
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F. Charro, P. J. Martínez-Aparicio, M. Pérez-Llanos y J. Rossi:
The eigenvalue problem for the 1-homogeneous p-laplacian and its limit as p → ∞. Revista Matemática Complutense. Springer, (2014) no.1, 241-258.
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The limit as p→8 for the eigenvalue problem of the 1-homogeneous p-laplacian. Rev. Mat. Complut. 27 (2014), no. 1, 241–258.
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P. J. Martínez-Aparicio, M. Pérez-Llanos y J. Rossi:
The sublinear problem for the 1-homogeneous p-laplacian. Proc. Amer. Math. Soc. 142 (2014), no. 8, 2641–2648.
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L. Moreno-Mérida:
A quasilinear Dirichlet problem with quadratic growth respect to the gradient and L1 data. Nonlinear Anal. 95 (2014), 450–459.
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D. Arcoya y L. Boccardo:
Multiplicity of solutions for a Dirichlet problem with a singular and a supercritical nonlinearities. Differential Integral Equations 26 (2013), no. 1-2, 119–128.
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D. Arcoya, L. Boccardo y T. Leonori:
W01,1-solutions for elliptic problems having gradient quadratic lower order terms. NoDEA Nonlinear Differential Equations Appl. 20 (2013), no. 6, 1741–1757.
https://doi.org/10.1007/s00030-013-0228-z│
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D. Arcoya, L. Boccardo y L. Orsina:
Critical points for functionals with quasilinear singular Euler-Lagrange equations. Calc. Var. Partial Differential Equations 47 (2013), no. 1-2, 159–180.
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Zbl 1266.35102
D. Arcoya, N. Bochud, J. Chiachío, M. Chiachío, A. J. Gómez, J. Melchor, L. Peralta, G. Rus y F. J. Suárez:
Biomechanical shear moduli recovery from ultrasound in multilayered half-space media. International Congress on Ultrasonics (ICU 2013) 2-5 May 2013, Singapore Gan Woon Siong, Lim Siak Piang and Khoo Boo Cheong (editors) 2013.
D. Arcoya, J. Carmona y P. J. Martínez-Aparicio:
Radial solutions for a gelfand type quasilinear elliptic problem with quadratic gradient terms. Recent trends in nonlinear partial differential equations. II. Stationary problems, 21–30, Contemp. Math., 595, Amer. Math. Soc., Providence, RI, 2013.
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D. Arcoya, T. Leonori y A. Primo-Ramos:
Existence of solutions for semilinear nonlocal elliptic problems via bolzano theorem. Acta Appl. Math. 127 (2013), 87–104.
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A. Cañada y S. Villegas:
Lyapunov inequalities for partial differential equations at radial higher eigenvalues. Discrete Contin. Dyn. Syst. 33 (2013), no. 1, 111–122.
http://dx.doi.org/10.3934/dcds.2013.33.111│
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Zbl 1262.35007
J. Carmona, S. Cingolani, P. J. Martínez-Aparicio y G. Vannella:
Regularity and Morse index of the solutions to critical quasilinear elliptic systems. Comm. Partial Differential Equations 38 (2013), no. 10, 1675–1711.
http://dx.doi.org/10.1080/03605302.2013.816856│
MR3169759│
Zbl 1304.35269
J. Carmona, P. J. Martínez-Aparicio y A. Suárez-Fernández:
Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth. Nonlinear Anal. 89 (2013), 157–169.
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R. López-Soriano, J. C. Navarro-Climent y J. D. Rossi:
The infinity Laplacian with a transport term. J. Math. Anal. Appl. 398 (2013), no. 2, 752–765.
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A. Malchiodi y D. Ruiz:
A variational analysis of the Toda system on compact surfaces. Comm. Pure Appl. Math. 66 (2013), no. 3, 332–371.
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M. A. Navarro y S. Villegas:
The sharpness of some results on stable solutions of Δu=f(u) in ℝ n. J. Math. Anal. Appl. 397 (2013), no. 2, 693–696.
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S. Villegas:
Boundedness of extremal solutions in dimension 4. Adv. Math. 235 (2013), 126–133.
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Zbl 06143265
D. Arcoya, E. Colorado y T. Leonori:
Asymptotically linear problems and antimaximum principle for the square root of the Laplacian. Adv. Nonlinear Stud. 12 (2012), no. 4, 683–701.
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REVISAR
A. Cañada y S. Villegas:
An applied mathematical excursion through Lyapunov inequalities, classical analysis and differential equations. SeMA J. No. 57 (2012), 69–106.
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P. D'Avenia, A. Pomponio y D. Ruiz:
Semiclassical states for the nonlinear Schrödinger equation on saddle points of the potential via variational methods. J. Funct. Anal. 262 (2012), no. 10, 4600–4633.
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I. Ianni y D. Ruiz:
Ground and bound states for a static Schrödinger-Poisson-Slater problem. Commun. Contemp. Math. 14 (2012), no. 1, 1250003, 22 pp.
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On the uniformity of the constant in the Poincaré inequality. Adv. Nonlinear Stud. 12 (2012), no. 4, 889–903.
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S. Villegas:
Sharp estimates for semi-stable radial solutions of semilinear elliptic equations. J. Funct. Anal. 262 (2012), no. 7, 3394–3408.
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A. Ambrosetti y D. Arcoya:
An introduction to nonlinear functional analysis and elliptic problems. Progress in Nonlinear Differential Equations and their Applications, 82. Birkhäuser Boston, Inc., Boston, MA, 2011. xii+199 pp.
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Bifurcation for quasilinear elliptic singular BVP. Comm. Partial Differential Equations 36 (2011), no. 4, 670–692.
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A. Cañada y S. Villegas:
Lyapunov inequalities for the periodic boundary value problem at higher eigenvalues. J. Math. Anal. Appl. 376 (2011), no. 2, 429–442.
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A. Cañada y S. Villegas:
Recent results on the stability of periodic linear differential equations. Florentino García Santos: in memoriam, 35–42, Editorial Universidad de Granada, Granada, 2011.
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A. Cañada y S. Villegas:
Stability, resonance and Lyapunov inequalities for periodic conservative systems. Nonlinear Anal. 74 (2011), no. 5, 1913–1925.
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T. D'Aprile y D. Ruiz:
Positive and sign-changing clusters around saddle points of the potential for nonlinear elliptic problems. Math. Z. 268 (2011), no. 3-4, 605–634.
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T. Leonori, P. J. Martínez-Aparicio y A. Primo:
Nonlinear elliptic equations with Hardy potential and lower order term with natural growth. Nonlinear Anal. 74 (2011), no. 11, 3556–3569.
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A. Malchiodi y D. Ruiz:
New improved Moser-Trudinger inequalities and singular Liouville equations on compact surfaces. Geom. Funct. Anal. 21 (2011), no. 5, 1196–1217.
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Parabolic equations with nonlinear singularities. Nonlinear Anal. 74 (2011), no. 1, 114–131.
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D. Ruiz y G. Vaira:
Cluster solutions for the Schrödinger-Poisson-Slater problem around a local minimum of the potential. Rev. Mat. Iberoam. 27 (2011), no. 1, 253–271.
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S. Villegas:
Nonexistence of nonconstant global minimizers with limit at ∞ of semilinear elliptic equations in all of ℝn. Commun. Pure Appl. Anal. 10 (2011), no. 6, 1817–1821.
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D. Arcoya, L. Boccardo, T. Leonori y A. Porretta:
Some elliptic problems with singular natural growth lower order terms. J. Differential Equations 249 (2010), no. 11, 2771–2795.
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En memoria de Giovanni Prodi, un matemático clásico. Gac. R. Soc. Mat. Esp. 13 (2010), no. 1, 27–30.
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D. Arcoya y S. Segura de León:
Uniqueness of solutions for some elliptic equations with a quadratic gradient term. ESAIM Control Optim. Calc. Var. 16 (2010), no. 2, 327–336.
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A. Cañada y S. Villegas:
Lyapunov inequalities for Neumann boundary conditions at higher eigenvalues. J. Eur. Math. Soc. (JEMS) 12 (2010), no. 1, 163–178.
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D. Ruiz:
On the Schrödinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases. Arch. Ration. Mech. Anal. 198 (2010), no. 1, 349–368.
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Existence of ground states for a modified nonlinear Schrödinger equation. Nonlinearity 23 (2010), no. 5, 1221–1233.
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D. Arcoya, S. Barile y P. J. Martínez-Aparicio:
Singular quasilinear equations with quadratic growth in the gradient without sign condition. J. Math. Anal. Appl. 350 (2009), no. 1, 401–408.
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D. Arcoya, J. Carmona, T. Leonori, P. J. Martínez-Aparicio, L. Orsina y F. Petitta:
Existence and nonexistence of solutions for singular quadratic quasilinear equations. J. Differential Equations 246 (2009), no. 10, 4006–4042.
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A. Cañada y S. Villegas:
Optimal Lyapunov inequalities for boundary value problems. J. Math. Inequal. 3 (2009), no. 4, 631–643.
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Multiplicity of solutions to uniformly elliptic fully nonlinear equations with concave-convex right-hand side. J. Differential Equations 246 (2009), no. 11, 4221–4248.
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T. Leonori y F. Petitta:
Existence and regularity results
P. J. Martínez-Aparicio:
Singular Dirichlet problems with quadratic gradient. Boll. Unione Mat. Ital. (9) 2 (2009), no. 3, 559–574.
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D. Arcoya y L. Boccardo:
Introduction to the study of the Euler equation of some functionals in the calculus of variations. Bol. Soc. Esp. Mat. Apl. SeMA No. 44 (2008), 7–31.
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D. Arcoya y P. J. Martínez-Aparicio:
Quasilinear equations with natural growth. Rev. Mat. Iberoam. 24 (2008), no. 2, 597–616.
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A. Cañada y S. Villegas:
Optimal Lyapunov inequalities for disfocality and Neumann boundary conditions using Lp norms. Discrete Contin. Dyn. Syst. 20 (2008), no. 4, 877–888.
https://doi.org/10.3934/dcds.2008.20.877│
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J.L. Gámez y J.F. Ruiz-Hidalgo:
A detailed analysis on local bifurcation from infinity for non-linear elliptic problems. J. Math. Anal. Appl. 338 (2008), no. 2, 1458–1468.
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B. Abdellaqui, E. Colorado y I. Peral:
Some critical quasilinear elliptic problems with mixed Dirichlet–Neumann boundary conditions: Relation with Sobolev and Hardy–Sobolev optimal constants. J. Math. Anal. Appl. 332 (2007), no. 2, 1165–1188.
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A. Ambrosetti y E. Colorado:
Standing waves of some coupled nonlinear Schrödinger equations. J. Lond. Math. Soc. (2) 75 (2007), no. 1, 67–82. (Actas del congreso CEDYA 2007, 8 págs)(Abstracts International Congress of Mathematicians, ICM 2006, 394-395).
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A. Ambrosetti, E. Colorado y D. Ruiz:
Multi-Bump solitons to linearly coupled systems of nonlinear Schrödinger equations. Calc. Var. Partial Differential Equations 30 (2007), no. 1, 85–112.
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D. Arcoya y J. Carmona:
A nondifferentiable extension of a theorem of Pucci and Serrin and applications. J. Differential Equations 235 (2007), no. 2, 683–700.
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D. Arcoya, J. Carmona y P. J. Martínez-Aparicio:
Desigualdades variacionales casilineales elípticas con crecimiento natural en el gradiente. Actas del congreso CEDYA 2007, 6 págs.
D. Arcoya, J. Carmona y P. J. Martínez-Aparicio:
Elliptic obstacle problems with natural growth on the gradient and singular nonlinear terms. Adv. Nonlinear Stud. 7 (2007), no. 2, 299–317.
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A. Cañada:
Multiplicity results near the principal eigenvalue for boundary-value problems with periodic nonlinearity. Math. Nachr. 280 (2007), no. 3, 235–241.
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T. Leonori:
Bounded solutions for some Dirichlet problems with L1 data. Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 10 (2007), no. 3, bis, 785–795.
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T. Leonori:
Large solutions for a class of nonlinear elliptic equations with gradient terms. Adv. Nonlinear Stud. 7 (2007), no. 2, 237–269.
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S. Villegas:
Asymptotic behavior of stable radial solutions of semilinear elliptic equations in ℝn. J. Math. Pures Appl. (9) 88 (2007), no. 3, 241–250.
https://doi.org/10.1016/j.matpur.2007.06.004│
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Zbl 1163.35020
B. Abdellaqui, E. Colorado e I. Peral:
Effect of the boundary conditions in the behavior of the optimal constant of some Caffarelli-Kohn-Nirenberg inequalities. Application to some doubly critical nonlinear elliptic problems. Adv. Differential Equations 11 (2006), no. 6, 667–720.
MR2238024│
Zbl 1176.46035
B. Abdellaqui, E. Colorado e I. Peral:
Existence and nonexistence results for a class of parabolic equations with mixed boundary conditions. Commun. Pure Appl. Anal. 5 (2006), no. 1, 29–54.
https://doi.org/10.3934/cpaa.2006.5.29│
MR2190775│
Zbl 1141.35038
B. Abdellaqui, E. Colorado y M. Sanchón:
Regularity of entropy solutions of quasilinear elliptic problems related with Hardy-Sobolev inequalities. Adv. Nonlinear Stud. 6 (2006), no. 4, 547–562.
https://doi.org/10.1515/ans-2006-0404│
MR2265555│
Zbl 1184.35141
A. Ambrosetti y E. Colorado:
Bound and ground states of coupled nonlinear schrödinger equations. C. R. Math. Acad. Sci. Paris 342 (2006), no. 7, 453–458.
https://doi.org/10.1016/j.crma.2006.01.024│
MR2214594│
Zbl 1094.35112
D. Arcoya y J. Carmona:
On two problems studied by A. Ambrosetti. J. Eur. Math. Soc. (JEMS) 8 (2006), no. 2, 181–188.
https://doi.org/10.4171/JEMS/45│
MR2239270│
Zbl 1304.35278
D. Arcoya y D. Ruiz:
The Ambrosetti-Prodi problem for the p-laplace operator. Comm. Partial Differential Equations 31 (2006), no. 4-6, 849–865.
http://dx.doi.org/10.1080/03605300500394447│
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Zbl 1101.35033
A. Cañada:
Fourier y sus coeficientes. Bol. Soc. Esp. Mat. Apl. SeMA No. 36 (2006), 125–148.
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Zbl 1242.01008
A. Cañada, J. A. Montero y S. Villegas:
Lyapunov inequalities for partial differential equations. J. Funct. Anal. 237 (2006), no. 1, 176–193.
https://doi.org/10.1016/j.jfa.2005.12.011│
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Zbl 1254.35069
A. Cañada, J. A. Montero y S. Villegas:
Lyapunov-Type inequalities for differential equations. Mediterr. J. Math. 3 (2006), no. 2, 177–187.
https://doi.org/10.1007/s00009-006-0071-0│
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Zbl 1115.34015
A. Cañada y D. Ruiz:
Asymptotic analysis of oscillating parametric integrals and ordinary boundary value problems at resonance. J. Math. Anal. Appl. 313 (2006), no. 1, 218–233.
https://doi.org/10.1016/j.jmaa.2005.05.054│
MR2178732│
Zbl 1086.34016
J.L. Gámez y J.F. Ruiz:
Sharp estimates for the Ambrosetti-Hess problem and consequences. J. Eur. Math. Soc. (JEMS) 8 (2006), no. 2, 287–294.
https://doi.org/10.4171/JEMS/53│
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Zbl 1107.34011
T. Leonori y F. Petitta:
Asymptotic behavior of solutions for parabolic equations with natural growth term and irregular data. Asymptot. Anal. 48 (2006), no. 3, 219–233.
MR2251560│
Zbl 1145.35346
B. Abdellaqui, E. Colorado e I. Peral:
Some improved Caffarelli-Kohn-Nirenberg inequalities. Calc. Var. Partial Differential Equations 23 (2005), no. 3, 327–345.
https://doi.org/10.1007/s00526-004-0303-8│
MR2142067│
Zbl 1207.35114
A. Cañada, J.A. Montero y S. Villegas:
Liapunov-type inequalities and applications to PDE. Elliptic and parabolic problems, 103–110, Progr. Nonlinear Differential Equations Appl., 63, Birkhäuser, Basel, 2005.
https://doi.org/10.1007/3-7643-7384-9_11│
MR2176703│
Zbl 1095.34010
A. Cañada, J.A. Montero y S. Villegas:
Liapunov-type inequalities and Neumann boundary value problems at resonance. Math. Inequal. Appl. 8 (2005), no. 3, 459–475.
dx.doi.org/10.7153/mia-08-42│
MR2148238│
Zbl 1085.34014
A. Cañada y D. Ruiz:
Elliptic resonant problems with a periodic nonlinearity. Gaeta 2004. Elliptic and parabolic problems, 111–118, Progr. Nonlinear Differential Equations Appl., 63, Birkhäuser, Basel, 2005.
MR2176704│
Zbl 1087.35012
A. Cañada y D. Ruiz:
Periodic perturbations of a class of resonant problems. Calc. Var. Partial Differential Equations 23 (2005), no. 3, 281–300.
https://doi.org/10.1007/s00526-004-0301-x│
MR2142065│
Zbl 1092.34009
A. Cañada y D. Ruiz:
Resonant systems with periodic nonlinearity. EQUADIFF 2003, 237–242, World Sci. Publ., Hackensack, NJ, 2005.
https://doi.org/10.1142/9789812702067_0029│
MR2185027│
Zbl 1106.34303
E. Colorado e I. Peral:
Some results for elliptic eigenvalue problems with moving mixed boundary conditions. EQUADIFF 2003, 540–545, World Sci. Publ., Hackensack, NJ, 2005.
https://doi.org/10.1142/9789812702067_0089 │
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Zbl 1104.35022
P. Girg, F. Roca y S. Villegas:
Semilinear Sturm-Liouville problem with periodic nonlinearity. Nonlinear Anal. 61 (2005), no. 7, 1157–1178.
https://doi.org/10.1016/j.na.2002.05.001│
MR2131647│
Zbl 1113.34020
D. Ruiz:
A priori estimates and existence of solutions for nonlinear problems involving the p-Laplacian. EQUADIFF 2003, 270–273, World Sci. Publ., Hackensack, NJ, 2005.
https://doi.org/10.1142/9789812702067_0036│
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Zbl 1274.35123
B. Abdellaqui, E. Colorado e I. Peral:
Existence and nonexistence results for a class of linear and semilinear parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities. J. Eur. Math. Soc. (JEMS) 6 (2004), no. 1, 119–148.
https://doi.org/10.4171/JEMS/4│
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Zbl 1059.35062
B. Abdellaqui, E. Colorado e I. Peral:
Some remarks on elliptic equations with singular potentials and mixed boundary conditions. Adv. Nonlinear Stud. 4 (2004), no. 4, 503–533. No especial dedicado al 60 cumpleaños del Prof. A. Ambrosetti.
https://doi.org/10.1515/ans-2004-0408│
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Zbl 1237.35072
D. Arcoya y J. Rossi:
Antimaximum principle for quasilinear problems. Adv. Differential Equations 9 (2004), no. 9-10, 1185–1200.
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Zbl 1241.35059
A. Cañada y D. Ruiz:
Coincidence degree and multidimensional resonant problems. The first 60 years of nonlinear analysis of Jean Mawhin, 15–26, World Sci. Publ., River Edge, NJ, 2004.
https://doi.org/10.1142/9789812702906_0002│
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Zbl 1090.34010
J. Carmona y A. Suárez:
An eigenvalue problem for a non-bounded quasilinear operator. Proc. Edinb. Math. Soc. (2) 47 (2004), no. 2, 353–363.
https://doi.org/10.1017/S001309150300035X│
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Zbl 1154.35347
E. Colorado e I. Peral:
Eigenvalues and bifurcation for elliptic equations with mixed Dirichlet-Neumann boundary conditions related to Caffarelli-Kohn-Nirenberg inequalities. Topol. Methods Nonlinear Anal. 23 (2004), no. 2, 239–273.
http://dx.doi.org/10.12775/TMNA.2004.011│
MR2078192│
Zbl 1075.35014
J.L. Gámez y J.F. Ruiz:
Bifurcation of solutions of elliptic problems: Local and global behaviour. Topol. Methods Nonlinear Anal. 23 (2004), no. 2, 203–212.
http://dx.doi.org/10.12775/TMNA.2004.009│
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Zbl 1075.35001
D. Arcoya y J. Carmona:
Quasilinear elliptic problems interacting with its asymptotic spectrum. Nonlinear Anal. 52 (2003), no. 6, 1591–1616.
https://doi.org/10.1016/S0362-546X(02)00274-2│
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Zbl 1013.35022
D. Arcoya y N. Del Toro:
Semilinear elliptic problems with nonlinearities depending on the derivative. Comment. Math. Univ. Carolin. 44 (2003), no. 3, 413–426.
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Zbl 1105.35038
J. Carmona, S. Cingolani y G. Vannella:
Estimates for critical groups of solutions to quasilinear elliptic systems. Electron. J. Differential Equations 2003, No. 78, 13 pp.
MR1995604│
Zbl 1040.58006
E. Colorado e I. Peral:
Semilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions. J. Funct. Anal. 199 (2003), no. 2, 468–507.
https://doi.org/10.1016/S0022-1236(02)00101-5│
MR1971262│
Zbl 1034.35041
D. Arcoya y L. Boccardo:
An introduction to critical points for integral functionals. Nonlinear partial differential equations and their applications. Collège de France Seminar, Vol. XIV (Paris, 1997/1998), 1–12, Stud. Math. Appl., 31, North-Holland, Amsterdam, 2002.
https://doi.org/10.1016/S0168-2024(02)80002-9│
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Zbl 1042.49011
D. Arcoya:
Funcionales integrales con coercitividad degenerada y teoría de puntos críticos. XVII CEDYA: Congress on Differential Equations and Applications/VII CMA: Congreso de Matemática Aplicada (Salamanca, 2001), 329–334, Dep. Mat. Apl., Univ. Salamanca, Salamanca, 2001.
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Zbl 1020.58014
D. Arcoya , L. Boccardo y L. Orsina:
Existence of critical points for some noncoercive functionals. Ann. Inst. H. Poincaré Anal. Non Linéaire 18 (2001), no. 4, 437–457.
https://doi.org/10.1016/S0294-1449(01)00069-5│
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D. Arcoya , J. Carmona y B. Pellacci:
Bifurcation for some quasilinear operators. Proc. Roy. Soc. Edinburgh Sect. A 131 (2001), no. 4, 733–765.
https://doi.org/10.1017/S0308210500001086│
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Zbl 0999.35024
D. Arcoya y J. L. Gámez:
Bifurcation theory and application to semilinear problems near the resonance parameter. Nonlinear analysis and its applications to differential equations (Lisbon, 1998), 189–200, Progr. Nonlinear Differential Equations Appl., 43, Birkhäuser Boston, Boston, MA, 2001.
https://doi.org/10.1007/978-1-4612-0191-5_10│
MR1800620│
Zbl 1221.35168
D. Arcoya y J. L. Gámez:
Bifurcation theory and related problems: Anti-maximum principle and resonance. Comm. Partial Differential Equations 26 (2001), no. 9-10, 1879–1911.
MR1865948│
Zbl 1086.35010
D. Arcoya , J. L. Gámez, L. Orsina e I. Peral:
Local existence results for sub-super-critical elliptic problems. Commun. Appl. Anal. 5 (2001), no. 4, 557–569.
MR1864273│
Zbl 1085.35511
M. Badiale, B. Pellacci y S. Villegas:
Elliptic problems on ℝn with jumping nonlinearities: perturbations results. Differential Integral Equations 13 (2000), no. 7-9, 837–868.
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Zbl 0989.35050
J. Carmona:
A class of strong resonant problems via Lyapunov-Schmidt reduction method. Partial differential equations (Praha, 1998), 89–98, Chapman & Hall/CRC Res. Notes Math., 406, Chapman & Hall/CRC, Boca Raton, FL, 2000.
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Zbl 0938.35061
S. Cingolani y J. L. Gámez:
Asymmetric positive solutions for a symmetric nonlinear problem in ℝn. Calc. Var. Partial Differential Equations 11 (2000), no. 1, 97–117.
https://doi.org/10.1007/s005260000039│
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Zbl 0968.35043
B. Pellacci y S. Villegas:
Some existence results for a class of resonant problems on ℝn. Commun. Appl. Anal. 4 (2000), no. 1, 21–30.
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Zbl 1090.35528
D. Arcoya y L. Boccardo:
Some remarks on critical point theory for nondifferentiable functionals. NoDEA Nonlinear Differential Equations Appl. 6 (1999), no. 1, 79–100.
https://doi.org/10.1007/s000300050066│
MR1674782│
Zbl 0923.35049
D. Arcoya, S. Cingolani y J. L. Gámez:
Asymmetric modes in symmetric nonlinear optical waveguides. SIAM J. Math. Anal. 30 (1999), no. 6, 1391–1400.
https://doi.org/10.1137/S0036141098336388│
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Zbl 0933.34014
A. Ambrosetti, D. Arcoya y J. L. Gámez:
Asymmetric bound states of differential equations in nonlinear optics. Rend. Sem. Mat. Univ. Padova 100 (1998), 231–247.
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Zbl 0922.34020
D. Arcoya:
Quasilinear elliptic equations with Neumann boundary condition via critical point theory. International Conference on Differential Equations (Lisboa, 1995), 247–252, World Sci. Publ., River Edge, NJ, 1998.
https://doi.org/10.1142/9789814528757│
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Zbl 0963.35063
D. Arcoya:
Recent results for asymmetric nonlinear boundary value problems. Nonlinear functional analysis and applications to differential equations (Trieste, 1997), 1–35, World Sci. Publ., River Edge, NJ, 1998.
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Zbl 0957.35048
D. Arcoya, J. I. Díaz y L. Tello:
S-Shaped bifurcation branch in a quasilinear multivalued model arising in Climatology. J.of Diff. Eqns. 150, 215-225 (1998).
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Zbl 0921.35198
A. Cañada, J. L. Gámez y A. J. Montero:
Study of an optimal control problem for diffusive nonlinear elliptic equations of logistic type. Siam J. Control Optim. 36 (1998), 1171-1189.
https://doi.org/10.1137/S0363012995293323
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J.L. Gámez y A. Montero:
Uniqueness of the optimal control for a Lotka-Volterra control problem with a large crowding effect. ESAIM: COCV. 36, 1171-1189, 1998.
https://doi.org/10.1051/cocv:1997100│
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Zbl 0868.49004
S. Villegas:
A Neumann problem with asymmetric nonlinearity and a related minimizing problem. J. Differential Equat. 145 (1998), 145-155.
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Zbl 0910.34035
S. Villegas:
On the structure of the solutions of a B.V.P. with a concave-convex nonlinearity. International Conference of Differential equations (Lisboa 1995), 541-545. World Sci.Publishing, River Edge, NJ, 1998.
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Zbl 0963.34012
A. Ambrosetti y J.L. Gámez:
Branches of positive solutions for some semilinear Schrödinger equations. Math. Zeit. 3, 347-362, 1997.
https://doi.org/10.1007/PL00004586│
MR1439195│
Zbl 0956.35039
D. Arcoya y L. Orsina:
Landesman-Lazer conditions and quasilinear elliptic equations. Nonlinear Anal. TMA. 28 (1997), 1623-1632.
https://doi.org/10.1016/S0362-546X(96)00022-3│
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Zbl 0871.35037
D. Arcoya y S. Villegas:
Dirichlet problems with asymmetric nonlinearities. Comm. Appl. Nonlinear Anal. 4 (1997), n. 1, 81-90.(Proc. XIV C.E.D.Y.A., Vic (España) 1995).
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Zbl 0866.35036
A. Cañada, P. Drábek y J. L. Gámez:
Existence of positive solutions for some problems with nonlinear diffusion. Transactions of the A.M.S. 349, 4231-4249, 1997.
https://doi.org/10.1090/S0002-9947-97-01947-8│
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Zbl 0884.35039
J. L. Gámez:
Existence and bifurcation of positive solutions of a semilinear elliptic problem on ℝn. Nonl Diff. Eqns. Appl. 4, 341-357,1997.
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J. L. Gámez:
Sub- and Super- solutions in bifurcation problems. Nonl. An., T.M.A. A 28, 625-632, 1997.
https://doi.org/10.1016/0362-546X(95)00174-T│
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Zbl 0865.35015
D. Arcoya y L. Boccardo:
Critical points for multiple integrals of calculus of variations. Arch. Rat. Mech. Anal. 134 no. 3 (1996), 249-274.
https://doi.org/10.1007/BF00379536│
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Zbl 0884.58023
D. Arcoya y A. Zertiti:
Global branching for discontinuous problems in the exterior domain of a ball. Bollettino U.M.I. (7) 10-A (1996),641-652.
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Zbl 0881.35041
S. Cingolani y J. L. Gámez:
Positive solutions of a semilinear elliptic equation on ℝn with indefinite non-linearity. Adv.in Diff.Eqn. A, 1, 773-791, 1996.
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Zbl 0857.35036
A. Ambrosetti y D. Arcoya:
On a quasilinear problem at strong resonance. Topological Methods in Nonlinear Anal. 6 (1995), 255-264.
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Zbl 0859.35030
D. Arcoya y L. Boccardo:
A min-max theorem for multiple integrals of the calculus of variations and applications. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur Rend. Lincei. (9),Mat. Appl. 6 (1995), no. 1, 29-35.
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D. Arcoya y L. Boccardo:
Nontrivial solutions to some nonlinear equations via minimization. Variational Methods in Nonlinear Analysis, edited by A. Ambrosetti and K.C. Chang, 49-53, Gordon and Breach Publishers, Basel, 1.995.
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Zbl 0849.49004
D. Arcoya y D. G. Costa:
Nontrivial solutions for a strongly resonant problem. J. of Diff. And Int. Eqns., 8-1 (1.995), 151-159 .
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Zbl 0820.35055
D. Arcoya, P. Drábek y A. Zertiti:
A minimization problem for some degenerated functionals: nonnegative and bounded solutions. Differential Equations 31 (1995), no. 2, 224–232. Translated in Russian from the English by I. A. Kuzin. Differentsialʹnye Uravneniya 31 (1995), no. 2, 245-252, 365.
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