Jose A Galvez Homepage

Linearity of homogeneous solutions to degenerate elliptic equations in dimension three

To appear in J. Eur. Math. Soc. (With P. Mira.)

Analytic saddle spheres in S3 are equatorial

Math. Ann. 389 (2024), 3865–3884. (With P. Mira and M. P. Tassi.)

Complete surfaces of constant anisotropic mean curvature

Adv. Math. 428 (2023), 109137, 27 pp. (With P. Mira and M. P. Tassi.)

Quasiconformal Gauss maps and the Bernstein problem for Weingarten multigraphs

Amer. J. Math. 145 (2023) 1887-1921. (With I. Fernández and P. Mira.)

A quasiconformal Hopf soap bubble theorem

Calc. Variations & PDEs 61 (2022), Paper No. 129, 20 pp. (With P. Mira and M. P. Tassi.)

Serrin's overdetermined problem for fully nonlinear non-elliptic equations

Anal. PDE. 14 (2021) 1429-1442. (With P. Mira.)

Rotational symmetry of Weingarten spheres in homogeneous three-manifolds

J. Reine Angew. 773 (2021) 21-66. (With P. Mira.)

The global geometry of surfaces with prescribed mean curvature in R^3

Trans. Am. Math. Soc. 373 (2020) 4437-4467. (With A. Bueno and P. Mira.)

Rotational hypersurfaces of prescribed mean curvature

J. Diff. Equations. 268 (2020) 2394-2413. (With A. Bueno and P. Mira.)

Uniqueness of immersed spheres in three-manifolds

J. Diff. Geometry 116 (2020) 459-480. (With P. Mira.)

Analytic saddle spheres in S3 are equatorial

Math. Ann. 389 (2024), 3865–3884. (With P. Mira and M. P. Tassi.)

Complete surfaces of constant anisotropic mean curvature

Adv. Math. 428 (2023), 109137, 27 pp. (With P. Mira and M. P. Tassi.)

Quasiconformal Gauss maps and the Bernstein problem for Weingarten multigraphs

Amer. J. Math. 145 (2023) 1887-1921. (With I. Fernández and P. Mira.)

A quasiconformal Hopf soap bubble theorem

Calc. Variations & PDEs 61 (2022), Paper No. 129, 20 pp. (With P. Mira and M. P. Tassi.)

Serrin's overdetermined problem for fully nonlinear non-elliptic equations

Anal. PDE. 14 (2021) 1429-1442. (With P. Mira.)

The global geometry of surfaces with prescribed mean curvature in R^3

J. Reine Angew. 773 (2021) 21-66. (With P. Mira.)

Rotational symmetry of Weingarten spheres in homogeneous three-manifolds

Trans. Am. Math. Soc. 373 (2020) 4437-4467. (With A. Bueno and P. Mira.)

Rotational hypersurfaces of prescribed mean curvature

J. Diff. Equations. 268 (2020) 2394-2413. (With A. Bueno and P. Mira.)

Uniqueness of immersed spheres in three-manifolds

J. Diff. Geometry 116 (2020) 459-480. (With P. Mira.)

Isolated singularities of the prescribed mean curvature equation in Minkowski 3-space

Ann. I. H. Poincaré 35 (2018), 1631-1644. (With A. Jiménez and P. Mira.)

Geometric PDEs in the presence of isolated singularities

Contemp. Math. 570, Geometric Analysis: Partial Differential Equations and Surfaces, 1-24, Amer. Math. Soc., Providence, RI, 2012. (With P. Mira)

The Codazzi equation for surfaces

(Spanish) Florentino García Santos: In Memoriam, Editorial Universidad de Granada (2011) 69-75

Proper harmonic maps from hyperbolic Riemann surfaces into the Euclidean plane

Results Math 60 (2011) 487-505. (With A. Alarcón.)

Surfaces of constant curvature in 3-dimensional space forms

Mat. Contemp. 37, Winter School on Nonlinear Analysis, 1-42, Soc. Bras. Mat., Rio de Janeiro, 2009

Some remarks on convex surfaces in simply connected homogeneous three manifolds

Milan J. Math. 78, 150 Years of Riemann Hypothesis, 279-288. (With J. M. Espinar and H. Rosenberg.)

The Lawson correspondence for Bryant surfaces in explicit coordinates

Mat. Contemp. 35, XV Escola de Geometria Diferencial, 61-72, Soc. Bras. Mat., Rio de Janeiro, 2008. (With P. Mira.)

An Alternative Proof of the Bryant Representation

DGA 2004, Proceedings of the 9th International Conference, 151-155, Matfyzpress, Prague, 2005. (With P. Mira.)

Björling Representation for Spacelike Surfaces with H=cK in L^3

II International Meeting on Lorentzian Geometry-Murcia 2003, 57-62, Pub. de la RSME, vol. 8, 2004. (With J. A. Aledo and P. Mira.)

Complete Spacelike Surfaces with a Constant Principal Curvature in the 3-dimensional de Sitter Space

Lorentzian Geometry-Benalmadena 2001, 13-21, Pub. de la RSME, vol. 5, 2003. (With J. A. Aledo.)

Hypersurfaces with Constant Curvature in R^{n+1}

PDEs, submanifolds and affine differential geometry, 101-108, Banach Center Publications, vol. 57, 2002. (With A. Martínez.)

José A. Gálvez

Research

Linearity of homogeneous solutions to degenerate elliptic equations in dimension three

Analytic saddle spheres in S3 are equatorial

Complete surfaces of constant anisotropic mean curvature

Quasiconformal Gauss maps and the Bernstein problem for Weingarten multigraphs

A quasiconformal Hopf soap bubble theorem

Serrin's overdetermined problem for fully nonlinear non-elliptic equations

Rotational symmetry of Weingarten spheres in homogeneous three-manifolds

The global geometry of surfaces with prescribed mean curvature in R^3

Rotational hypersurfaces of prescribed mean curvature

Uniqueness of immersed spheres in three-manifolds

Analytic saddle spheres in S3 are equatorial

Complete surfaces of constant anisotropic mean curvature

Quasiconformal Gauss maps and the Bernstein problem for Weingarten multigraphs

A quasiconformal Hopf soap bubble theorem

Serrin's overdetermined problem for fully nonlinear non-elliptic equations

The global geometry of surfaces with prescribed mean curvature in R^3

Rotational symmetry of Weingarten spheres in homogeneous three-manifolds

Rotational hypersurfaces of prescribed mean curvature

Uniqueness of immersed spheres in three-manifolds

Isolated singularities of the prescribed mean curvature equation in Minkowski 3-space

Geometric PDEs in the presence of isolated singularities

The Codazzi equation for surfaces

Proper harmonic maps from hyperbolic Riemann surfaces into the Euclidean plane

Surfaces of constant curvature in 3-dimensional space forms

Some remarks on convex surfaces in simply connected homogeneous three manifolds

The Lawson correspondence for Bryant surfaces in explicit coordinates

An Alternative Proof of the Bryant Representation

Björling Representation for Spacelike Surfaces with H=cK in L^3

Complete Spacelike Surfaces with a Constant Principal Curvature in the 3-dimensional de Sitter Space

Hypersurfaces with Constant Curvature in R^{n+1}

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