Joaquim Serra

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All published works

Action	Title	Year	Authors
+ PDF Chat	Fractional Sobolev spaces on Riemannian manifolds	2024	Michele Caselli Enric Florit-Simon Joaquim Serra
+ PDF Chat	Fractional Sobolev spaces on Riemannian manifolds	2024	Michele Caselli Enric Florit-Simon Joaquim Serra
+	Nonlocal minimal surfaces: recent developments, applications, and future directions	2023	Joaquim Serra
+ PDF Chat	Free boundary partial regularity in the thin obstacle problem	2023	Federico Franceschini Joaquim Serra
+	From branching singularities in minimal surfaces to non-smoothness points in ice-water interfaces	2023	Joaquim Serra
+	The singular set in the Stefan problem	2023	Alessio Figalli Xavier Ros‐Oton Joaquim Serra
+	Yau's conjecture for nonlocal minimal surfaces	2023	Michele Caselli Enric Florit-Simon Joaquim Serra
+	Regularity theory for nonlocal obstacle problems with critical and subcritical scaling	2023	Alessio Figalli Xavier Ros‐Oton Joaquim Serra
+	Nonlocal approximation of minimal surfaces: optimal estimates from stability	2023	Hardy Chan Serena Dipierro Joaquim Serra Enrico Valdinoci
+	Interface regularity for semilinear one-phase problems	2022	Alessandro Audrito Joaquim Serra
+ PDF Chat	Non-symmetric stable operators: Regularity theory and integration by parts	2022	Serena Dipierro Xavier Ros‐Oton Joaquim Serra Enrico Valdinoci
+	Stable solutions to the fractional Allen-Cahn equation in the nonlocal perimeter regime	2021	Xavier Cabré Eleonora Cinti Joaquim Serra
+	The singular set in the Stefan problem	2021	Alessio Figalli Xavier Ros‐Oton Joaquim Serra
+	Stable solutions to the fractional Allen-Cahn equation in the nonlocal perimeter regime	2021	Xavier Cabré Eleonora Cinti Joaquim Serra
+	Free boundary partial regularity in the thin obstacle problem	2021	Federico Franceschini Joaquim Serra
+	Interface regularity for semilinear one-phase problems	2021	Alessandro Audrito Joaquim Serra
+ PDF Chat	Generic regularity of free boundaries for the obstacle problem	2020	Alessio Figalli Xavier Ros‐Oton Joaquim Serra
+ PDF Chat	Stable solutions to semilinear elliptic equations are smooth up to dimension $9$	2020	Xavier Cabré Alessio Figalli Xavier Ros‐Oton Joaquim Serra
+ PDF Chat	Improvement of Flatness for Nonlocal Phase Transitions	2020	Serena Dipierro Joaquim Serra Enrico Valdinoci
+	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
+	Sharp quantitative stability for isoperimetric inequalities with homogeneous weights	2020	Eleonora Cinti Federico Glaudo Aldo Pratelli Xavier Ros‐Oton Joaquim Serra
+	Generic regularity of free boundaries for the obstacle problem.	2019	Alessio Figalli Xavier Ros‐Oton Joaquim Serra
+ PDF Chat	Regularity of minimal surfaces with lower-dimensional obstacles	2019	Xavier Fernández‐Real Joaquim Serra
+	Stable solutions to semilinear elliptic equations are smooth up to dimension 9	2019	Xavier Cabré Alessio Figalli Xavier Ros‐Oton Joaquim Serra
+ PDF Chat	On stable solutions for boundary reactions: a De Giorgi-type result in dimension 4 + 1	2019	Alessio Figalli Joaquim Serra
+ PDF Chat	Quantitative flatness results and $BV$-estimates for stable nonlocal minimal surfaces	2019	Eleonora Cinti Joaquim Serra Enrico Valdinoci
+ PDF Chat	Stable <i>s</i>-minimal cones in ℝ<sup>3</sup> are flat for <i>s</i> ~ 1	2019	Xavier Cabré Eleonora Cinti Joaquim Serra
+	Generic regularity of free boundaries for the obstacle problem	2019	Alessio Figalli Xavier Ros‐Oton Joaquim Serra
+	Stable solutions to semilinear elliptic equations are smooth up to dimension 9	2019	Xavier Cabré Alessio Figalli Xavier Ros‐Oton Joaquim Serra
+ PDF Chat	On the fine structure of the free boundary for the classical obstacle problem	2018	Alessio Figalli Joaquim Serra
+ PDF Chat	The Boundary Harnack Principle for Nonlocal Elliptic Operators in Non-divergence Form	2018	Xavier Ros‐Oton Joaquim Serra
+ PDF Chat	Quantitative stability of the free boundary in the obstacle problem	2018	Stéphane Serfaty Joaquim Serra
+	Regularity of minimal surfaces with lower dimensional obstacles	2018	Xavier Fernández‐Real Joaquim Serra
+	Regularity of minimal surfaces with lower dimensional obstacles	2018	Xavier Fernández‐Real Joaquim Serra
+	Stable $s$-minimal cones in $\mathbb{R}^3$ are flat for $s\sim 1$	2017	Xavier Cabré Eleonora Cinti Joaquim Serra
+	On the fine structure of the free boundary for the classical obstacle problem	2017	Alessio Figalli Joaquim Serra
+ PDF Chat	Pohozaev identities for anisotropic integrodifferential operators	2017	Xavier Ros‐Oton Joaquim Serra Enrico Valdinoci
+ PDF Chat	The structure of the free boundary in the fully nonlinear thin obstacle problem	2017	Xavier Ros‐Oton Joaquim Serra
+	On stable solutions for boundary reactions: a De Giorgi-type result in dimension 4+1	2017	Alessio Figalli Joaquim Serra
+ 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
+	Stable $s$-minimal cones in $\mathbb{R}^3$ are flat for $s\sim 1$	2017	Xavier Cabré Eleonora Cinti Joaquim Serra
+	On the fine structure of the free boundary for the classical obstacle problem	2017	Alessio Figalli Joaquim Serra
+	On stable solutions for boundary reactions: a De Giorgi-type result in dimension 4+1	2017	Alessio Figalli Joaquim Serra
+	Improvement of flatness for nonlocal phase transitions	2016	Serena Dipierro Joaquim Serra Enrico Valdinoci
+	Improvement of flatness for nonlocal phase transitions	2016	Serena Dipierro Joaquim Serra Enrico Valdinoci
+	Nonlocal phase transitions: Rigidity results and anisotropic geometry	2016	Serena Dipierro Joaquim Serra Enrico Valdinoci
+ 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
+	Nonlocal phase transitions: rigidity results and anisotropic geometry	2016	Serena Dipierro Joaquim Serra Enrico Valdinoci
+	The boundary Harnack principle for nonlocal elliptic operators in non-divergence form	2016	Xavier Ros‐Oton Joaquim Serra
+	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
+	Quantitative flatness results and $BV$-estimates for stable nonlocal minimal surfaces	2016	Eleonora Cinti Joaquim Serra Enrico Valdinoci
+ PDF Chat	An extension problem for sums of fractional Laplacians and 1-D symmetry of phase transitions	2016	Xavier Cabré Joaquim Serra
+	Nonlocal phase transitions: rigidity results and anisotropic geometry	2016	Serena Dipierro Joaquim Serra Enrico Valdinoci
+	Quantitative flatness results and $BV$-estimates for stable nonlocal minimal surfaces	2016	Eleonora Cinti Joaquim Serra Enrico Valdinoci
+	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
+	Improvement of flatness for nonlocal phase transitions	2016	Serena Dipierro Joaquim Serra Enrico Valdinoci
+	Boundary regularity estimates for nonlocal elliptic equations in $C^1$ and $C^{1,\alpha}$ domains	2015	Xavier Ros‐Oton Joaquim Serra
+	An extension problem for sums of fractional Laplacians and 1-D symmetry of phase transitions	2015	Xavier Cabré Joaquim Serra
+ PDF Chat	$$C^{\sigma +\alpha }$$ C σ + α regularity for concave nonlocal fully nonlinear elliptic equations with rough kernels	2015	Joaquim Serra
+	Pohozaev identities for anisotropic integro-differential operators	2015	Xavier Ros‐Oton Joaquim Serra Enrico Valdinoci
+	Pohozaev identities for anisotropic integro-differential operators	2015	Xavier Ros‐Oton Joaquim Serra Enrico Valdinoci
+	Boundary regularity estimates for nonlocal elliptic equations in $C^1$ and $C^{1,α}$ domains	2015	Xavier Ros‐Oton Joaquim Serra
+	Pohozaev identities for anisotropic integro-differential operators	2015	Xavier Ros‐Oton Joaquim Serra Enrico Valdinoci
+	An extension problem for sums of fractional Laplacians and 1-D symmetry of phase transitions	2015	Xavier Cabré Joaquim Serra
+	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
+ PDF Chat	Regularity for fully nonlinear nonlocal parabolic equations with rough kernels	2014	Joaquim Serra
+	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
+	$C^{\sigma+\alpha}$ regularity for concave nonlocal fully nonlinear elliptic equations with rough kernels	2014	Joaquim Serra
+ PDF Chat	The Pohozaev Identity for the Fractional Laplacian	2014	Xavier Ros‐Oton Joaquim Serra
+	Regularity for fully nonlinear nonlocal parabolic equations with rough kernels	2014	Joaquim Serra
+	Local integration by parts and Pohozaev identities for higher order fractional Laplacians	2014	Xavier Ros‐Oton Joaquim Serra
+	Regularity for fully nonlinear nonlocal parabolic equations with rough kernels	2014	Joaquim Serra
+	Regularity theory for general stable operators	2014	Xavier Ros‐Oton Joaquim Serra
+	$C^{σ+α}$ regularity for concave nonlocal fully nonlinear elliptic equations with rough kernels	2014	Joaquim Serra
+	Nonexistence results for nonlocal equations with critical and supercritical nonlinearities	2013	Xavier Ros‐Oton Joaquim Serra
+ 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
+	Radial symmetry of solutions to diffusion equations with discontinuous nonlinearities	2012	Joaquim Serra
+ PDF Chat	Euclidean balls solve some isoperimetric problems with nonradial weights	2012	Xavier Cabré Xavier Ros‐Oton Joaquim Serra
+	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
+	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
+	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
+	Radial symmetry of solutions to diffusion equations with discontinuous nonlinearities	2011	Joaquim Serra
+	Radial symmetry of solutions to diffusion equations with discontinuous nonlinearities	2011	Joaquim Serra

Common Coauthors

Coauthor	Papers Together
Xavier Ros‐Oton	55
Enrico Valdinoci	17
Xavier Cabré	17
Alessio Figalli	15
Serena Dipierro	10
Eleonora Cinti	9
Michele Caselli	3
Xavier Fernández‐Real	3
Enric Florit-Simon	3
Alessandro Audrito	2
Federico Franceschini	2
Aldo Pratelli	1
Hardy Chan	1
Luis A. Caffarelli	1
Stéphane Serfaty	1
Federico Glaudo	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Regularity theory for fully nonlinear integro‐differential equations	2009	Luis Caffarelli Luís Silvestre	21
+	Fully Nonlinear Elliptic Equations	1995	Luis Caffarelli Xavier Cabré	17
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	15
+	The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary	2013	Xavier Ros‐Oton Joaquim Serra	14
+	Minimal Varieties in Riemannian Manifolds	1968	James Simons	14
+ PDF Chat	Boundary regularity for fully nonlinear integro-differential equations	2016	Xavier Ros‐Oton Joaquim Serra	14
+ PDF Chat	The Pohozaev Identity for the Fractional Laplacian	2014	Xavier Ros‐Oton Joaquim Serra	13
+ PDF Chat	The Evans-Krylov theorem for nonlocal fully nonlinear equations	2011	Luis Caffarelli Luís Silvestre	12
+ PDF Chat	An Extension Problem Related to the Fractional Laplacian	2007	Luis Caffarelli Luís Silvestre	12
+ PDF Chat	Nonlocal minimal surfaces	2010	Luis Caffarelli Jean -Michel Roquejoffre Ovidiu Savin	11
+ PDF Chat	The regularity of free boundaries in higher dimensions	1977	Luis Caffarelli	11
+ PDF Chat	The Structure of the Free Boundary for Lower Dimensional Obstacle Problems	2008	Ioannis Athanasopoulos Luis Caffarelli Sandro Salsa	11
+ PDF Chat	Regularity of the obstacle problem for a fractional power of the laplace operator	2006	Luís Silvestre	10
+	Fractional Laplacians on domains, a development of Hörmander's theory of μ-transmission pseudodifferential operators	2014	Gerd Grubb	10
+ PDF Chat	Layer solutions in a half‐space for boundary reactions	2005	Xavier Cabré J. Solà‐Morales	10
+	The obstacle problem revisited	1998	Luis Caffarelli	10
+	On a conjecture of De Giorgi and some related problems	1998	Nassif Ghoussoub Changfeng Gui	9
+	Regularity of flat level sets in phase transitions	2009	Ovidiu Savin	9
+ PDF Chat	Regularity Results for Nonlocal Equations by Approximation	2010	Luis Caffarelli Luís Silvestre	9
+ PDF Chat	Regularity of nonlocal minimal cones in dimension 2	2012	Ovidiu Savin Enrico Valdinoci	9
+	Mountain Pass solutions for non-local elliptic operators	2011	Raffaella Servadei Enrico Valdinoci	9
+	The structure of complete stable minimal surfaces in 3‐manifolds of non‐negative scalar curvature	1980	D. Fischer-Colbrie Richard Schoen	8
+	Regularity properties of nonlocal minimal surfaces via limiting arguments	2013	Luis Caffarelli Enrico Valdinoci	8
+	A homogeneity improvement approach to the obstacle problem	1999	Georg S. Weiss	8
+ PDF Chat	Fractional Laplacian: Pohozaev identity and nonexistence results	2012	Xavier Ros‐Oton Joaquim Serra	8
+	Hitchhikerʼs guide to the fractional Sobolev spaces	2011	Eleonora Di Nezza Giampiero Palatucci Enrico Valdinoci	8
+	Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions	2014	Xavier Cabré Yannick Sire	8
+ PDF Chat	Obstacle problems for integro-differential operators: regularity of solutions and free boundaries	2016	Luis Caffarelli Xavier Ros‐Oton Joaquim Serra	8
+ PDF Chat	Some new monotonicity formulas and the singular set in the lower dimensional obstacle problem	2009	Nicola Garofalo Arshak Petrosyan	8
+	Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi	2000	Luigi Ambrosio Xavier Cabré	7
+ PDF Chat	Sharp energy estimates for nonlinear fractional diffusion equations	2012	Xavier Cabré Eleonora Cinti	7
+	Density estimates for a variational model driven by the Gagliardo norm	2013	Ovidiu Savin Enrico Valdinoci	7
+ 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	7
+	Regularity in free boundary problems	1977	David Kinderlehrer Louis Nirenberg	7
+	Some monotonicity results for minimizers in the calculus of variations	2013	Ovidiu Savin Enrico Valdinoci	7
+	None	2002	Richard F. Bass David Levin	6
+	Stable Complete Minimal Surfaces in R 3 are Planes	2012	Manfredo do Carmo Cheng Peng	6
+ PDF Chat	Nonlinear equations for fractional Laplacians, I: Regularity, maximum principles, and Hamiltonian estimates	2013	Xavier Cabré Yannick Sire	6
+	Estimating the spectral measure of a multivariate stable distribution via spherical harmonic analysis	2003	Marcus Pivato Luis Seco	6
+	Fractional Laplacian phase transitions and boundary reactions: A geometric inequality and a symmetry result	2009	Yannick Sire Enrico Valdinoci	6
+ PDF Chat	On the fine structure of the free boundary for the classical obstacle problem	2018	Alessio Figalli Joaquim Serra	6
+	Regularity theory for general stable operators	2016	Xavier Ros‐Oton Joaquim Serra	6
+ PDF Chat	On shape optimization problems involving the fractional laplacian	2013	Anne-Laure Dalibard David Gérard‐Varet	6
+ PDF Chat	Regularity of a boundary having a Schwarz function	1991	Makoto Sakai	6
+	None	2001	Giovanni Alberti Luigi Ambrosio Xavier Cabré	6
+	Nonexistence results for a class of fractional elliptic boundary value problems	2012	Mouhamed Moustapha Fall Tobias Weth	6
+ PDF Chat	Quantitative flatness results and $BV$-estimates for stable nonlocal minimal surfaces	2019	Eleonora Cinti Joaquim Serra Enrico Valdinoci	6
+	Holder estimates for solutions of integro differential equations like the fractional laplace	2006	Luís Silvestre	6
+ PDF Chat	$$C^{\sigma +\alpha }$$ C σ + α regularity for concave nonlocal fully nonlinear elliptic equations with rough kernels	2015	Joaquim Serra	6
+ PDF Chat	$\Gamma$-convergence for nonlocal phase transitions	2012	Ovidiu Savin Enrico Valdinoci	6