Xavier Cabre

About Xavier Cabre

Xavier Cabre, With an exceptional h-index of 38 and a recent h-index of 28 (since 2020), a distinguished researcher at Universidad Politécnica de Cataluña, specializes in the field of Partial Differential Equations.

His recent articles reflect a diverse array of research interests and contributions to the field:

Periodic solutions to integro-differential equations: variational formulation, symmetry, and regularity

Null-Lagrangians and calibrations for general nonlocal functionals and an application to the viscosity theory

Existence and symmetry of periodic nonlocal-CMC surfaces via variational methods

A Weierstrass extremal field theory for the fractional Laplacian

Regularity of stable solutions to reaction-diffusion elliptic equations

A fractional Michael–Simon Sobolev inequality on convex hypersurfaces

Estimates controlling a function by only its radial derivative and applications to stable solutions of elliptic equations

Universal Hardy–Sobolev inequalities on hypersurfaces of Euclidean space

Xavier Cabre Information

University

Position

ICREA Research Professor at the (Barcelona)

Citations(all)

9341

Citations(since 2020)

3661

Cited By

7627

hIndex(all)

38

hIndex(since 2020)

28

i10Index(all)

60

i10Index(since 2020)

51

Email

University Profile Page

Google Scholar

Xavier Cabre Skills & Research Interests

Partial Differential Equations

Top articles of Xavier Cabre

Title

Journal

Author(s)

Publication Date

Periodic solutions to integro-differential equations: variational formulation, symmetry, and regularity

arXiv preprint arXiv:2404.06462

Xavier Cabre

Gyula Csató

Albert Mas

2024/4/9

Null-Lagrangians and calibrations for general nonlocal functionals and an application to the viscosity theory

arXiv preprint arXiv:2312.11636

Xavier Cabre

Iñigo U Erneta

Juan-Carlos Felipe-Navarro

2023/12/18

Existence and symmetry of periodic nonlocal-CMC surfaces via variational methods

Journal für die reine und angewandte Mathematik (Crelles Journal)

Xavier Cabré

Gyula Csató

Albert Mas

2023/11/1

A Weierstrass extremal field theory for the fractional Laplacian

Advances in Calculus of Variations

Xavier Cabré

Iñigo U Erneta

Juan-Carlos Felipe-Navarro

2023/10/27

Regularity of stable solutions to reaction-diffusion elliptic equations

Xavier Cabré Vilagut

2023/7/14

A fractional Michael–Simon Sobolev inequality on convex hypersurfaces

Annales de l'Institut Henri Poincaré C

Xavier Cabré

Matteo Cozzi

Gyula Csató

2022/6/24

Estimates controlling a function by only its radial derivative and applications to stable solutions of elliptic equations

arXiv preprint arXiv:2211.13033

Xavier Cabre

2022/11/23

Universal Hardy–Sobolev inequalities on hypersurfaces of Euclidean space

Communications in Contemporary Mathematics

Xavier Cabré

Pietro Miraglio

2022/6/16

Assessment of incidence and trends in cerebrovascular disease in the healthcare district of Lleida (Spain) in the period 2010–2014

Neurología (English Edition)

AB Vena

X Cabré

R Piñol

J Molina

F Purroy

2022/10/1

A quantitative proof of the H\" older regularity of stable solutions to semilinear elliptic equations

arXiv preprint arXiv:2205.11352

Xavier Cabre

2022/5/23

Evaluación de la incidencia y tendencia de la enfermedad cerebrovascular en la región sanitaria de Lleida (España) en el periodo 2010-2014

Neurología

AB Vena

X Cabré

R Piñol

J Molina

F Purroy

2022/10/1

A universal Hölder estimate up to dimension 4 for stable solutions to half-Laplacian semilinear equations

Journal of Differential Equations

Xavier Cabré

Tomás Sanz-Perela

2022/4/25

The Bernstein technique for integro-differential equations

Archive for Rational Mechanics and Analysis

Xavier Cabré

Serena Dipierro

Enrico Valdinoci

2022/3

Optimal regularity of stable solutions to nonlinear equations involving the p-Laplacian

Advances in Calculus of Variations

Xavier Cabré

Pietro Miraglio

Manel Sanchón

2022/10/1

The optimal exponent in the embedding into the Lebesgue spaces for functions with gradient in the Morrey space

Advances in Mathematics

Xavier Cabré

Fernando Charro

2021/3/26

Stable solutions to the fractional Allen-Cahn equation in the nonlocal perimeter regime

arXiv preprint arXiv:2111.06285

Xavier Cabre

Eleonora Cinti

Joaquim Serra

2021/11/11

Calibrations and null-Lagrangians for nonlocal perimeters and an application to the viscosity theory

Annali di Matematica Pura ed Applicata (1923-)

Xavier Cabré

2020/10

Stable s-minimal cones in ℝ3 are flat for s~ 1

Journal für die reine und angewandte Mathematik (Crelles Journal)

Xavier Cabré

Eleonora Cinti

Joaquim Serra

2020/7/1

Stable solutions to semilinear elliptic equations are smooth up to dimension

Acta Mathematica

Xavier Cabré

Alessio Figalli

Xavier Ros-Oton

Joaquim Serra

2020/1/1

See List of Professors in Xavier Cabre University(Universidad Politécnica de Cataluña)

Co-Authors

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