Xavier Ros‐Oton

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All published works
Action Title Year Authors
+ PDF Chat Positive solutions to general semilinear overdetermined boundary problems 2024 Alberto Enciso
Pablo Hidalgo-Palencia
Xavier Ros‐Oton
+ PDF Chat Semiconvexity estimates for nonlinear integro‐differential equations 2024 Xavier Ros‐Oton
Clara Torres‐Latorre
Marvin Weidner
+ PDF Chat Schauder and Cordes–Nirenberg estimates for nonlocal elliptic equations with singular kernels 2024 Xavier Fernández‐Real
Xavier Ros‐Oton
+ PDF Chat Regularity for the Boltzmann equation conditional to pressure and moment bounds 2024 Xavier Fernández‐Real
Xavier Ros‐Oton
Marvin Weidner
+ PDF Chat $C^\infty$ regularity in semilinear free boundary problems 2024 Daniel Herrera Restrepo
Xavier Ros‐Oton
+ PDF Chat $L^p$ estimates for the Laplacian via blow-up 2024 Jan Lewenstein-Sanpera
Xavier Ros‐Oton
+ Dunford property for composition operators on $H^p$-spaces 2024 Xavier Ros‐Oton
Marvin Weidner
+ PDF Chat Stable cones in the thin one-phase problem 2024 Xavier Fernández‐Real
Xavier Ros‐Oton
+ PDF Chat Improvement of flatness for nonlocal free boundary problems 2024 Xavier Ros‐Oton
Marvin Weidner
+ Optimal regularity for the fully nonlinear thin obstacle problem 2024 Maria Colombo
Xavier Fernández‐Real
Xavier Ros‐Oton
+ PDF Chat Regularity for nonlocal equations with local Neumann boundary conditions 2024 Xavier Ros‐Oton
Marvin Weidner
+ PDF Chat Optimal regularity and fine asymptotics for the porous medium equation in bounded domains 2024 Tianling Jin
Xavier Ros‐Oton
Jingang Xiong
+ PDF Chat Optimal regularity for nonlocal elliptic equations and free boundary problems 2024 Xavier Ros‐Oton
Marvin Weidner
+ Fully Nonlinear Equations 2024 Xavier Fernández‐Real
Xavier Ros‐Oton
+ Linear Integro-differential Equations 2024 Xavier Fernández‐Real
Xavier Ros‐Oton
+ The Square Root of the Laplacian 2024 Xavier Fernández‐Real
Xavier Ros‐Oton
+ PDF Chat Integro-Differential Elliptic Equations 2024 Xavier Fernández‐Real
Xavier Ros‐Oton
+ Obstacle Problems 2024 Xavier Fernández‐Real
Xavier Ros‐Oton
+ PDF Chat Optimal regularity for supercritical parabolic obstacle problems 2023 Xavier Ros‐Oton
Clara Torres‐Latorre
+ The singular set in the Stefan problem 2023 Alessio Figalli
Xavier Ros‐Oton
Joaquim Serra
+ MFO-RIMS Tandem Workshop: Nonlocality in Analysis, Probability and Statistics 2023 Krzystzof Bogdan
Arturo Kohatsu‐Higa
Xavier Ros‐Oton
René L. Schilling
+ Regularity theory for nonlocal obstacle problems with critical and subcritical scaling 2023 Alessio Figalli
Xavier Ros‐Oton
Joaquim Serra
+ Semiconvexity estimates for nonlinear integro-differential equations 2023 Xavier Ros‐Oton
Clara Torres‐Latorre
Marvin Weidner
+ Obstacle problems for nonlocal operators with singular kernels 2023 Xavier Ros‐Oton
Marvin Weidner
+ Schauder and Cordes-Nirenberg estimates for nonlocal elliptic equations with singular kernels 2023 Xavier Fernández‐Real
Xavier Ros‐Oton
+ PDF Chat Regularity Theory for Elliptic PDE 2022 Xavier Fernández‐Real
Xavier Ros‐Oton
+ Global Schauder theory for minimizers of the H(Ω) energy 2022 Mouhamed Moustapha Fall
Xavier Ros‐Oton
+ PDF Chat Non-symmetric stable operators: Regularity theory and integration by parts 2022 Serena Dipierro
Xavier Ros‐Oton
Joaquim Serra
Enrico Valdinoci
+ PDF Chat The Neumann problem for the fractional Laplacian: regularity up to the boundary 2022 Alessandro Audrito
Juan-Carlos Felipe-Navarro
Xavier Ros‐Oton
+ Sharp quantitative stability for isoperimetric inequalities with homogeneous weights 2022 Eleonora Cinti
Federico Glaudo
Aldo Pratelli
Xavier Ros‐Oton
João C. Serra
+ Optimal regularity and fine asymptotics for the porous medium equation in bounded domains 2022 Tianling Jin
Xavier Ros‐Oton
Jingang Xiong
+ PDF Chat Optimal regularity for the fully nonlinear thin obstacle problem 2021 Maria Colombo
Xavier Fernández‐Real
Xavier Ros‐Oton
+ Optimal regularity for supercritical parabolic obstacle problems 2021 Xavier Ros‐Oton
Damià Torres-Latorre
+ PDF Chat Characterizing compact coincidence sets in the thin obstacle problem and the obstacle problem for the fractional Laplacian 2021 Simon Eberle
Xavier Ros‐Oton
Georg S. Weiss
+ Global Schauder theory for minimizers of the $H^s(\Omega)$ energy. 2021 Mouhamed Moustapha Fall
Xavier Ros‐Oton
+ New boundary Harnack inequalities with right hand side 2021 Xavier Ros‐Oton
Clara Torres‐Latorre
+ PDF Chat Free Boundary Regularity for Almost Every Solution to the Signorini Problem 2021 Xavier Fernández‐Real
Xavier Ros‐Oton
+ The singular set in the Stefan problem 2021 Alessio Figalli
Xavier Ros‐Oton
Joaquim Serra
+ Geometric Measure Theory and Free Boundary Problems 2021 Guido De Philippis
Xavier Ros‐Oton
Georg S. Weiss
+ Optimal regularity for the fully nonlinear thin obstacle problem 2021 Maria Colombo
Xavier Fernández‐Real
Xavier Ros‐Oton
+ Global Schauder theory for minimizers of the $H^s(Ω)$ energy 2021 Mouhamed Moustapha Fall
Xavier Ros‐Oton
+ Optimal regularity for supercritical parabolic obstacle problems 2021 Xavier Ros‐Oton
Damià Torres-Latorre
+ Regularity of Free Boundaries in Obstacle Problems 2020 Xavier Ros‐Oton
+ New boundary Harnack inequalities with right hand side 2020 Xavier Ros‐Oton
Damià Torres-Latorre
+ PDF Chat Generic regularity of free boundaries for the obstacle problem 2020 Alessio Figalli
Xavier Ros‐Oton
Joaquim Serra
+ Characterizing compact coincidence sets in the thin obstacle problem and the obstacle problem for the fractional Laplacian 2020 Simon Eberle
Xavier Ros‐Oton
Georg S. Weiss
+ The Dirichlet problem for nonlocal elliptic operators with $C^{0,\alpha }$ exterior data 2020 Alessandro Audrito
Xavier Ros‐Oton
+ PDF Chat Stable solutions to semilinear elliptic equations are smooth up to dimension $9$ 2020 Xavier Cabré
Alessio Figalli
Xavier Ros‐Oton
Joaquim Serra
+ Regularitat i singularitats en problemes de frontera lliure 2020 Xavier Ros‐Oton
Joaquim Serra
+ Non-symmetric stable operators: regularity theory and integration by parts 2020 Serena Dipierro
Xavier Ros‐Oton
Joaquim Serra
Enrico Valdinoci
+ New boundary Harnack inequalities with right hand side 2020 Xavier Ros‐Oton
Damià Torres-Latorre
+ Stable cones in the thin one-phase problem 2020 Xavier Fernández‐Real
Xavier Ros‐Oton
+ Sharp quantitative stability for isoperimetric inequalities with homogeneous weights 2020 Eleonora Cinti
Federico Glaudo
Aldo Pratelli
Xavier Ros‐Oton
Joaquim Serra
+ Characterizing compact coincidence sets in the thin obstacle problem and the obstacle problem for the fractional Laplacian 2020 Simon Eberle
Xavier Ros‐Oton
Georg S. Weiss
+ The Neumann problem for the fractional Laplacian: regularity up to the boundary 2020 Alessandro Audrito
Juan-Carlos Felipe-Navarro
Xavier Ros‐Oton
+ Generic regularity of free boundaries for the obstacle problem. 2019 Alessio Figalli
Xavier Ros‐Oton
Joaquim Serra
+ Obstacle problems for integro-differential operators: Higher regularity of free boundaries 2019 Nicola Abatangelo
Xavier Ros‐Oton
+ Generic regularity in free boundary problems 2019 Xavier Ros‐Oton
+ Nonlocal Dirichlet problems with $C^{0,\alpha}$ exterior data 2019 Alessandro Audrito
Xavier Ros‐Oton
+ The Dirichlet problem for nonlocal elliptic operators with $C^{0,\alpha}$ exterior data 2019 Alessandro Audrito
Xavier Ros‐Oton
+ Obstacle problems for integro-differential operators: Higher regularity of free boundaries 2019 Nicola Abatangelo
Xavier Ros‐Oton
+ Stable solutions to semilinear elliptic equations are smooth up to dimension 9 2019 Xavier Cabré
Alessio Figalli
Xavier Ros‐Oton
Joaquim Serra
+ PDF Chat Structure and regularity of the singular set in the obstacle problem for the fractional Laplacian 2019 Nicola Garofalo
Xavier Ros‐Oton
+ PDF Chat On global solutions to semilinear elliptic equations related to the one-phase free boundary problem 2019 Xavier Fernández‐Real
Xavier Ros‐Oton
+ Generic regularity of free boundaries for the obstacle problem 2019 Alessio Figalli
Xavier Ros‐Oton
Joaquim Serra
+ The Dirichlet problem for nonlocal elliptic operators with $C^{0,α}$ exterior data 2019 Alessandro Audrito
Xavier Ros‐Oton
+ Obstacle problems for integro-differential operators: Higher regularity of free boundaries 2019 Nicola Abatangelo
Xavier Ros‐Oton
+ Stable solutions to semilinear elliptic equations are smooth up to dimension 9 2019 Xavier Cabré
Alessio Figalli
Xavier Ros‐Oton
Joaquim Serra
+ On global solutions to semilinear elliptic equations related to the one-phase free boundary problem 2018 Xavier Fernández‐Real
Xavier Ros‐Oton
+ PDF Chat Higher-order boundary regularity estimates for nonlocal parabolic equations 2018 Xavier Ros‐Oton
Hernán Vivas
+ PDF Chat The Boundary Harnack Principle for Nonlocal Elliptic Operators in Non-divergence Form 2018 Xavier Ros‐Oton
Joaquim Serra
+ PDF Chat Regularity of free boundaries in obstacle problems for integro-differential operators 2018 Xavier Ros‐Oton
+ PDF Chat Free Boundary Regularity in the Parabolic Fractional Obstacle Problem 2018 Begoña Barrios
Alessio Figalli
Xavier Ros‐Oton
+ PDF Chat Global regularity for the free boundary in the obstacle problem for the fractional Laplacian 2018 Begoña Barrios
Alessio Figalli
Xavier Ros‐Oton
+ On global solutions to semilinear elliptic equations related to the one-phase free boundary problem 2018 Xavier Fernández‐Real
Xavier Ros‐Oton
+ Boundary Regularity, Pohozaev Identities and Nonexistence Results 2017 Xavier Ros‐Oton
+ PDF Chat Obstacle problems and free boundaries: an overview 2017 Xavier Ros‐Oton
+ Higher-order boundary regularity estimates for nonlocal parabolic equations 2017 Xavier Ros‐Oton
Hernán Vivas
+ PDF Chat The obstacle problem for the fractional Laplacian with critical drift 2017 Xavier Fernández‐Real
Xavier Ros‐Oton
+ PDF Chat Pohozaev identities for anisotropic integrodifferential operators 2017 Xavier Ros‐Oton
Joaquim Serra
Enrico Valdinoci
+ Obstacle problems and free boundaries: an overview 2017 Xavier Ros‐Oton
+ PDF Chat The structure of the free boundary in the fully nonlinear thin obstacle problem 2017 Xavier Ros‐Oton
Joaquim Serra
+ Boundary regularity, Pohozaev identities, and nonexistence results 2017 Xavier Ros‐Oton
+ PDF Chat Nonlocal problems with Neumann boundary conditions 2017 Serena Dipierro
Xavier Ros‐Oton
Enrico Valdinoci
+ Structure and regularity of the singular set in the obstacle problem for the fractional Laplacian 2017 Nicola Garofalo
Xavier Ros‐Oton
+ PDF Chat On the regularity of the free boundary in the p-Laplacian obstacle problem 2017 Alessio Figalli
Brian Krummel
Xavier Ros‐Oton
+ Regularity theory for general stable operators: Parabolic equations 2017 Xavier Fernández‐Real
Xavier Ros‐Oton
+ PDF Chat Boundary regularity estimates for nonlocal elliptic equations in $$C^1$$ C 1 and $$C^{1,\alpha }$$ C 1 , α domains 2017 Xavier Ros‐Oton
Joaquim Serra
+ On the regularity of the free boundary in the $p$-Laplacian obstacle problem 2017 Alessio Figalli
Brian Krummel
Xavier Ros‐Oton
+ Obstacle problems and free boundaries: an overview 2017 Xavier Ros‐Oton
+ Higher-order boundary regularity estimates for nonlocal parabolic equations 2017 Xavier Ros‐Oton
Hernán Vivas
+ Boundary regularity, Pohozaev identities, and nonexistence results 2017 Xavier Ros‐Oton
+ Structure and regularity of the singular set in the obstacle problem for the fractional Laplacian 2017 Nicola Garofalo
Xavier Ros‐Oton
+ On the regularity of the free boundary in the $p$-Laplacian obstacle problem 2017 Alessio Figalli
Brian Krummel
Xavier Ros‐Oton
+ PDF Chat Sharp isoperimetric inequalities via the ABP method 2016 Xavier Cabré
Xavier Ros‐Oton
Joaquim Serra
+ PDF Chat Obstacle problems for integro-differential operators: regularity of solutions and free boundaries 2016 Luis Caffarelli
Xavier Ros‐Oton
Joaquim Serra
+ PDF Chat Infinite Speed of Propagation and Regularity of Solutions to the Fractional Porous Medium Equation in General Domains 2016 Matteo Bonforte
Alessio Figalli
Xavier Ros‐Oton
+ The boundary Harnack principle for nonlocal elliptic operators in non-divergence form 2016 Xavier Ros‐Oton
Joaquim Serra
+ The obstacle problem for the fractional Laplacian with critical drift 2016 Xavier Fernández‐Real
Xavier Ros‐Oton
+ Free boundary regularity in the parabolic fractional obstacle problem 2016 Begoña Barrios
Alessio Figalli
Xavier Ros‐Oton
+ The structure of the free boundary in the fully nonlinear thin obstacle problem 2016 Xavier Ros‐Oton
Joaquim Serra
+ PDF Chat Boundary regularity for fully nonlinear integro-differential equations 2016 Xavier Ros‐Oton
Joaquim Serra
+ Regularity theory for general stable operators 2016 Xavier Ros‐Oton
Joaquim Serra
+ PDF Chat A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane 2016 Yannick Sire
François Hamel
Xavier Ros‐Oton
Enrico Valdinoci
+ Nonlocal elliptic equations in bounded domains 2016 Xavier Ros‐Oton
+ Free boundary regularity in the parabolic fractional obstacle problem 2016 Begoña Barrios
Alessio Figalli
Xavier Ros‐Oton
+ The structure of the free boundary in the fully nonlinear thin obstacle problem 2016 Xavier Ros‐Oton
Joaquim Serra
+ The boundary Harnack principle for nonlocal elliptic operators in non-divergence form 2016 Xavier Ros‐Oton
Joaquim Serra
+ The obstacle problem for the fractional Laplacian with critical drift 2016 Xavier Fernández‐Real
Xavier Ros‐Oton
+ Boundary regularity estimates for nonlocal elliptic equations in $C^1$ and $C^{1,\alpha}$ domains 2015 Xavier Ros‐Oton
Joaquim Serra
+ PDF Chat Nonlocal elliptic equations in bounded domains: a survey 2015 Xavier Ros‐Oton
+ Regularity theory for general stable operators: parabolic equations 2015 Xavier Fernández‐Real
Xavier Ros‐Oton
+ The Dirichlet problem for nonlocal operators with singular kernels: Convex and nonconvex domains 2015 Xavier Ros‐Oton
Enrico Valdinoci
+ Infinite speed of propagation and regularity of solutions to the fractional porous medium equation in general domains 2015 Matteo Bonforte
Alessio Figalli
Xavier Ros‐Oton
+ A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane 2015 François Hamel
Xavier Ros‐Oton
Yannick Sire
Enrico Valdinoci
+ Global regularity for the free boundary in the obstacle problem for the fractional Laplacian 2015 Begoña Barrios
Alessio Figalli
Xavier Ros‐Oton
+ Entire solutions to semilinear nonlocal equations in $R^2$ 2015 Xavier Ros‐Oton
Yannick Sire
+ Nonlocal elliptic equations in bounded domains: a survey 2015 Xavier Ros‐Oton
+ The Dirichlet problem for nonlocal operators with kernels: Convex and nonconvex domains 2015 Xavier Ros‐Oton
Enrico Valdinoci
+ Pohozaev identities for anisotropic integro-differential operators 2015 Xavier Ros‐Oton
Joaquim Serra
Enrico Valdinoci
+ PDF Chat Boundary regularity for the fractional heat equation 2015 Xavier Fernández‐Real
Xavier Ros‐Oton
+ Pohozaev identities for anisotropic integro-differential operators 2015 Xavier Ros‐Oton
Joaquim Serra
Enrico Valdinoci
+ The Dirichlet problem for nonlocal operators with singular kernels: convex and nonconvex domains 2015 Xavier Ros‐Oton
Enrico Valdinoci
+ Boundary regularity estimates for nonlocal elliptic equations in $C^1$ and $C^{1,α}$ domains 2015 Xavier Ros‐Oton
Joaquim Serra
+ The Dirichlet problem for nonlocal operators with singular kernels: convex and nonconvex domains 2015 Xavier Ros‐Oton
Enrico Valdinoci
+ Pohozaev identities for anisotropic integro-differential operators 2015 Xavier Ros‐Oton
Joaquim Serra
Enrico Valdinoci
+ Entire solutions to semilinear nonlocal equations in $\RR^2$ 2015 Xavier Ros‐Oton
Yannick Sire
+ A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane 2015 François Hamel
Xavier Ros‐Oton
Yannick Sire
Enrico Valdinoci
+ Regularity theory for general stable operators: parabolic equations 2015 Xavier Fernández‐Real
Xavier Ros‐Oton
+ Infinite speed of propagation and regularity of solutions to the fractional porous medium equation in general domains 2015 Matteo Bonforte
Alessio Figalli
Xavier Ros‐Oton
+ Global regularity for the free boundary in the obstacle problem for the fractional Laplacian 2015 Begoña Barrios
Alessio Figalli
Xavier Ros‐Oton
+ Nonlocal elliptic equations in bounded domains: a survey 2015 Xavier Ros‐Oton
+ Local integration by parts and Pohozaev identities for higher order fractional Laplacians 2014 Xavier Ros‐Oton
Joaquim Serra
+ Regularity theory for general stable operators 2014 Xavier Ros‐Oton
Joaquim Serra
+ Boundary regularity for the fractional heat equation 2014 Xavier Fernández‐Real
Xavier Ros‐Oton
+ Nonlocal problems with Neumann boundary conditions 2014 Serena Dipierro
Xavier Ros‐Oton
Enrico Valdinoci
+ Nonlocal problems with Neumann boundary conditions 2014 Serena Dipierro
Xavier Ros‐Oton
Enrico Valdinoci
+ Integro-differential equations : regularity theory and Pohozaev identities 2014 Xavier Ros‐Oton
+ Local integration by parts and Pohozaev identities for higher order fractional Laplacians 2014 Xavier Ros‐Oton
Joaquim Serra
+ PDF Chat Nonexistence Results for Nonlocal Equations with Critical and Supercritical Nonlinearities 2014 Xavier Ros‐Oton
Joaquim Serra
+ Regularity for the fractional Gelfand problem up to dimension 7 2014 Xavier Ros‐Oton
+ PDF Chat The Pohozaev Identity for the Fractional Laplacian 2014 Xavier Ros‐Oton
Joaquim Serra
+ Regularity for the fractional Gelfand problem up to dimension 7 2014 Xavier Ros‐Oton
+ Local integration by parts and Pohozaev identities for higher order fractional Laplacians 2014 Xavier Ros‐Oton
Joaquim Serra
+ Regularity theory for general stable operators 2014 Xavier Ros‐Oton
Joaquim Serra
+ Regularity for the fractional Gelfand problem up to dimension 7 2014 Xavier Ros‐Oton
+ Boundary regularity for the fractional heat equation 2014 Xavier Fernández‐Real
Xavier Ros‐Oton
+ Nonlocal problems with Neumann boundary conditions 2014 Serena Dipierro
Xavier Ros‐Oton
Enrico Valdinoci
+ Nonexistence results for nonlocal equations with critical and supercritical nonlinearities 2013 Xavier Ros‐Oton
Joaquim Serra
+ PDF Chat Sobolev and isoperimetric inequalities with monomial weights 2013 Xavier Cabré
Xavier Ros‐Oton
+ PDF Chat The extremal solution for the fractional Laplacian 2013 Xavier Ros‐Oton
Joaquim Serra
+ The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary 2013 Xavier Ros‐Oton
Joaquim Serra
+ The extremal solution for the fractional Laplacian 2013 Xavier Ros‐Oton
Joaquim Serra
+ Sharp isoperimetric inequalities via the ABP method 2013 Xavier Cabré
Xavier Ros‐Oton
Joaquim Serra
+ Nonexistence results for nonlocal equations with critical and supercritical nonlinearities 2013 Xavier Ros‐Oton
Joaquim Serra
+ The extremal solution for the fractional Laplacian 2013 Xavier Ros‐Oton
Joaquim Serra
+ Sharp isoperimetric inequalities via the ABP method 2013 Xavier Cabré
Xavier Ros‐Oton
Joaquim Serra
+ PDF Chat Regularity of Stable Solutions up to Dimension 7 in Domains of Double Revolution 2012 Xavier Cabré
Xavier Ros‐Oton
+ PDF Chat Existence of periodic solutions with nonconstant sign in a class of generalized Abel equations 2012 Josep M. Olm
Xavier Ros‐Oton
+ PDF Chat Euclidean balls solve some isoperimetric problems with nonradial weights 2012 Xavier Cabré
Xavier Ros‐Oton
Joaquim Serra
+ Sobolev and isoperimetric inequalities with monomial weights 2012 Xavier Cabré
Xavier Ros‐Oton
+ Euclidean balls solve some isoperimetric problems with nonradial weights 2012 Xavier Cabré
Xavier Ros‐Oton
Joaquim Serra
+ The Pohozaev identity for the fractional Laplacian 2012 Xavier Ros‐Oton
Joaquim Serra
+ The Dirichlet problem for the fractional Laplacian: regularity up to the boundary 2012 Xavier Ros‐Oton
Joaquim Serra
+ Fractional Laplacian: Pohozaev identity and nonexistence results 2012 Xavier Ros‐Oton
Joaquim Serra
+ PDF Chat Fractional Laplacian: Pohozaev identity and nonexistence results 2012 Xavier Ros‐Oton
Joaquim Serra
+ PDF Chat On a factorization of Riemann’s ζ function with respect to a quadratic field and its computation 2012 Xavier Ros‐Oton
+ Regularity of stable solutions up to dimension 7 in domains of double revolution 2012 Xavier Cabré
Xavier Ros‐Oton
+ Sobolev and isoperimetric inequalities with monomial weights 2012 Xavier Cabré
Xavier Ros‐Oton
+ Euclidean balls solve some isoperimetric problems with nonradial weights 2012 Xavier Cabré
Xavier Ros‐Oton
Joaquim Serra
+ Fractional Laplacian: Pohozaev identity and nonexistence results 2012 Xavier Ros‐Oton
Joaquim Serra
+ Regularity of stable solutions up to dimension 7 in domains of double revolution 2012 Xavier Cabré
Xavier Ros‐Oton
+ The Pohozaev identity for the fractional Laplacian 2012 Xavier Ros‐Oton
Joaquim Serra
+ The Dirichlet problem for the fractional Laplacian: regularity up to the boundary 2012 Xavier Ros‐Oton
Joaquim Serra
+ Periodic solutions with nonconstant sign in Abel equations of the second kind 2011 Josep M. Olm
Xavier Ros‐Oton
Tere M. Seara
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary 2013 Xavier Ros‐Oton
Joaquim Serra
36
+ PDF Chat Regularity theory for fully nonlinear integro‐differential equations 2009 Luis Caffarelli
Luís Silvestre
31
+ PDF Chat Regularity of the obstacle problem for a fractional power of the laplace operator 2006 Luís Silvestre
31
+ PDF Chat Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian 2007 Luis Caffarelli
Sandro Salsa
Luís Silvestre
30
+ PDF Chat Boundary regularity for fully nonlinear integro-differential equations 2016 Xavier Ros‐Oton
Joaquim Serra
28
+ PDF Chat An Extension Problem Related to the Fractional Laplacian 2007 Luis Caffarelli
Luís Silvestre
28
+ Regularity theory for general stable operators 2016 Xavier Ros‐Oton
Joaquim Serra
27
+ PDF Chat Boundary Harnack estimates in slit domains and applications to thin free boundary problems 2016 Daniela De Silva
Ovidiu Savin
27
+ Fractional Laplacians on domains, a development of Hörmander's theory of μ-transmission pseudodifferential operators 2014 Gerd Grubb
26
+ PDF Chat Regularity for fully nonlinear nonlocal parabolic equations with rough kernels 2014 Joaquim Serra
21
+ Fully Nonlinear Elliptic Equations 1995 Luis Caffarelli
Xavier Cabré
21
+ PDF Chat Some new monotonicity formulas and the singular set in the lower dimensional obstacle problem 2009 Nicola Garofalo
Arshak Petrosyan
21
+ PDF Chat Obstacle problems for integro-differential operators: regularity of solutions and free boundaries 2016 Luis Caffarelli
Xavier Ros‐Oton
Joaquim Serra
20
+ PDF Chat The Evans-Krylov theorem for nonlocal fully nonlinear equations 2011 Luis Caffarelli
Luís Silvestre
19
+ PDF Chat The Structure of the Free Boundary for Lower Dimensional Obstacle Problems 2008 Ioannis Athanasopoulos
Luis Caffarelli
Sandro Salsa
19
+ PDF Chat The regularity of free boundaries in higher dimensions 1977 Luis Caffarelli
19
+ PDF Chat Elliptic Partial Differential Equations of Second Order 2001 David Gilbarg
Neil S. Trudinger
19
+ Hitchhikerʼs guide to the fractional Sobolev spaces 2011 Eleonora Di Nezza
Giampiero Palatucci
Enrico Valdinoci
18
+ PDF Chat Regularity of solutions to the parabolic fractional obstacle problem 2012 Luis Caffarelli
Alessio Figalli
18
+ The obstacle problem revisited 1998 Luis Caffarelli
17
+ PDF Chat The Pohozaev Identity for the Fractional Laplacian 2014 Xavier Ros‐Oton
Joaquim Serra
17
+ PDF Chat Higher regularity of the free boundary in the elliptic Signorini problem 2015 Herbert Koch
Arshak Petrosyan
Wenhui Shi
17
+ PDF Chat Higher regularity of the free boundary in the obstacle problem for the fractional Laplacian 2017 Yash Jhaveri
Robin Neumayer
16
+ PDF Chat Global regularity for the free boundary in the obstacle problem for the fractional Laplacian 2018 Begoña Barrios
Alessio Figalli
Xavier Ros‐Oton
15
+ PDF Chat On the Measure and the Structure of the Free Boundary of the Lower Dimensional Obstacle Problem 2018 Matteo Focardi
Emanuele Spadaro
15
+ PDF Chat Nonlocal elliptic equations in bounded domains: a survey 2015 Xavier Ros‐Oton
15
+ Regularity of Free Boundaries in Obstacle-Type Problems 2012 Arshak Petrosyan
Henrik Shahgholian
N. N. Uraltseva
15
+ PDF Chat Regularity Results for Nonlocal Equations by Approximation 2010 Luis Caffarelli
Luís Silvestre
15
+ PDF Chat Local and nonlocal boundary conditions for<i>μ</i>-transmission and fractional elliptic pseudodifferential operators 2014 Gerd Grubb
15
+ PDF Chat Boundary regularity estimates for nonlocal elliptic equations in $$C^1$$ C 1 and $$C^{1,\alpha }$$ C 1 , α domains 2017 Xavier Ros‐Oton
Joaquim Serra
13
+ PDF Chat The boundary Harnack principle for the fractional Laplacian 1997 Krzysztof Bogdan
13
+ PDF Chat The Dirichlet problem for nonlocal operators 2014 Matthieu Felsinger
Moritz Kaßmann
P. W. Voigt
13
+ PDF Chat Heat kernel estimates for the Dirichlet fractional Laplacian 2010 Zhen-Qing Chen
Panki Kim
Renming Song
12
+ PDF Chat On shape optimization problems involving the fractional laplacian 2013 Anne-Laure Dalibard
David Gérard‐Varet
12
+ The local regularity of solutions of degenerate elliptic equations 1982 Eugene B. Fabes
Carlos E. Kenig
Raul Serapioni
12
+ None 2002 Richard F. Bass
David Levin
12
+ Mountain Pass solutions for non-local elliptic operators 2011 Raffaella Servadei
Enrico Valdinoci
12
+ PDF Chat Regularity of Stable Solutions up to Dimension 7 in Domains of Double Revolution 2012 Xavier Cabré
Xavier Ros‐Oton
12
+ Boundary Harnack inequality for Markov processes with jumps 2014 Krzysztof Bogdan
Takashi Kumagai
Mateusz Kwaśnicki
12
+ Obstacle problems for integro-differential operators: Higher regularity of free boundaries 2019 Nicola Abatangelo
Xavier Ros‐Oton
12
+ PDF Chat Variational problems with free boundaries for the fractional Laplacian 2010 Luis Caffarelli
Jean‐Michel Roquejoffre
Yannick Sire
12
+ PDF Chat The obstacle problem for the fractional Laplacian with critical drift 2017 Xavier Fernández‐Real
Xavier Ros‐Oton
11
+ A priori estimates for integro-differential operators with measurable kernels 2008 Moritz Kaßmann
11
+ Regularity for solutions of nonlocal parabolic equations II 2013 Héctor A. Chang‐Lara
Gonzalo Dávila
11
+ PDF Chat Regularity Theory for Elliptic PDE 2022 Xavier Fernández‐Real
Xavier Ros‐Oton
11
+ PDF Chat Regularity of Local Minimizers of the Interaction Energy Via Obstacle Problems 2016 José A. Carrillo
Matías G. Delgadino
Antoine Mellet
11
+ Holder estimates for solutions of integro differential equations like the fractional laplace 2006 Luís Silvestre
10
+ PDF Chat $$C^{\sigma +\alpha }$$ C σ + α regularity for concave nonlocal fully nonlinear elliptic equations with rough kernels 2015 Joaquim Serra
10
+ PDF Chat Regularity of radial minimizers and extremal solutions of semilinear elliptic equations 2006 Xavier Cabré
Antonio Capella
9
+ On the number of singularities for the obstacle problem in two dimensions 2003 Régis Monneau
9