Xavier Ros-Oton

Q: What Schools Are Affiliated With Xavier Ros-Oton

Xavier Ros-Oton is affiliated with the following schools: Polytechnic University of Catalonia, University of Barcelona

Xavier Ros-Oton's AcademicInfluence.com Rankings

Xavier Ros-Oton

Mathematics

#4662

World Rank

#6600

Historical Rank

Geometry

#239

World Rank

#330

Historical Rank

Measure Theory

#3794

World Rank

#4474

Historical Rank

mathematics Degrees

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Mathematics

Why Is Xavier Ros-Oton Influential?

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According to Wikipedia, Xavier Ros Oton is a Spanish mathematician who works on partial differential equations . He is an ICREA Research Professor and a Full Professor at the University of Barcelona. Research His research is mainly focused on topics related to the regularity of solutions to nonlinear elliptic and parabolic PDE. Some of his main contributions have been in the context of free boundary problems, integro-differential equations, and the Calculus of Variations.

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Xavier Ros-Oton's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary (2012) (718)
The Pohozaev Identity for the Fractional Laplacian (2012) (292)
Nonlocal problems with Neumann boundary conditions (2014) (203)
Nonlocal elliptic equations in bounded domains: a survey (2015) (196)
Regularity theory for general stable operators (2014) (145)
Boundary regularity for fully nonlinear integro-differential equations (2014) (133)
The extremal solution for the fractional Laplacian (2013) (123)
Sobolev and isoperimetric inequalities with monomial weights (2012) (93)
Obstacle problems for integro-differential operators: regularity of solutions and free boundaries (2016) (74)
Sharp isoperimetric inequalities via the ABP method (2013) (70)
Fractional Laplacian: Pohozaev identity and nonexistence results (2012) (55)
Nonexistence Results for Nonlocal Equations with Critical and Supercritical Nonlinearities (2013) (54)
Regularity theory for general stable operators: parabolic equations (2015) (53)
Stable solutions to semilinear elliptic equations are smooth up to dimension $9$ (2019) (50)
Global regularity for the free boundary in the obstacle problem for the fractional Laplacian (2015) (48)
Boundary regularity estimates for nonlocal elliptic equations in C 1 and C 1 ,α domains (2015) (47)
Boundary regularity for the fractional heat equation (2014) (45)
Regularity of Stable Solutions up to Dimension 7 in Domains of Double Revolution (2012) (45)
Infinite Speed of Propagation and Regularity of Solutions to the Fractional Porous Medium Equation in General Domains (2015) (38)
Local integration by parts and Pohozaev identities for higher order fractional Laplacians (2014) (34)
The Dirichlet problem for nonlocal operators with singular kernels: convex and nonconvex domains (2015) (34)
Obstacle problems for integro-differential operators: Higher regularity of free boundaries (2019) (30)
Free Boundary Regularity in the Parabolic Fractional Obstacle Problem (2016) (29)
Generic regularity of free boundaries for the obstacle problem (2019) (29)
Euclidean balls solve some isoperimetric problems with nonradial weights (2012) (28)
Boundary regularity estimates for nonlocal elliptic equations in $$C^1$$C1 and $$C^{1,\alpha }$$C1,α domains (2015) (28)
Stable inversion of Abel equations: Application to tracking control in DC-DC nonminimum phase boost converters (2011) (28)
Obstacle problems and free boundaries: an overview (2017) (27)
Pohozaev identities for anisotropic integrodifferential operators (2015) (25)
The obstacle problem for the fractional Laplacian with critical drift (2016) (22)
A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane ☆ (2015) (21)
Regularity Theory for Elliptic PDE (2022) (21)
Structure and regularity of the singular set in the obstacle problem for the fractional Laplacian (2017) (21)
An efficient algorithm to find the best state sequence in HSMM (1993) (20)
The Boundary Harnack Principle for Nonlocal Elliptic Operators in Non-divergence Form (2016) (19)
Regularity for the fractional Gelfand problem up to dimension 7 (2014) (19)
Non-symmetric stable operators: Regularity theory and integration by parts (2020) (18)
The structure of the free boundary in the fully nonlinear thin obstacle problem (2016) (16)
Boundary regularity, Pohozaev identities, and nonexistence results (2017) (13)
New boundary Harnack inequalities with right hand side (2020) (13)
Free Boundary Regularity for Almost Every Solution to the Signorini Problem (2019) (11)
Sharp quantitative stability for isoperimetric inequalities with homogeneous weights (2020) (11)
Higher-order boundary regularity estimates for nonlocal parabolic equations (2017) (11)
The Neumann problem for the fractional Laplacian: regularity up to the boundary (2020) (10)
The singular set in the Stefan problem (2021) (8)
On the regularity of the free boundary in the p-Laplacian obstacle problem ☆ (2017) (8)
On global solutions to semilinear elliptic equations related to the one-phase free boundary problem (2018) (5)
Stable cones in the thin one-phase problem. (2020) (5)
Periodic solutions with nonconstant sign in Abel equations of the second kind (2011) (5)
Entire solutions to semilinear nonlocal equations in $R^2$ (2015) (4)
Approximate tracking of periodic references in a class of bilinear systems via stable inversion (2010) (4)
REGULARITY OF MINIMIZERS UP TO DIMENSION 7 IN DOMAINS OF DOUBLE REVOLUTION (2012) (3)
Boundary regularity estimates for nonlocal elliptic equations in $C^1$ and $C^{1,\alpha}$ domains (2015) (3)
Regularity of free boundaries in obstacle problems for integro-differential operators (2017) (3)
Stable inversion-based robust tracking control in DC-DC nonlinear switched converters (2009) (3)
Obstacle problems for integro-differential operators: regularity of solutions and free boundaries (2016) (3)
Higher-order boundary regularity estimates for nonlocal parabolic equations (2018) (3)
The Dirichlet problem for nonlocal elliptic operators with $C^{0,\alpha }$ exterior data (2019) (3)
Nonlocal elliptic equations in bounded domains (2016) (2)
Optimal regularity for supercritical parabolic obstacle problems (2021) (2)
Global Schauder theory for minimizers of the H(Ω) energy (2022) (2)
A P ] 8 J an 2 01 6 POHOZAEV IDENTITIES FOR ANISOTROPIC INTEGRO-DIFFERENTIAL OPERATORS (2016) (2)
EXISTENCE OF PERIODIC SOLUTIONS WITH NONCONSTANT SIGN IN A CLASS OF GENERALIZED ABEL EQUATIONS (2012) (2)
Characterizing compact coincidence sets in the thin obstacle problem and the obstacle problem for the fractional Laplacian (2020) (2)
Boundary regularity for the fractional heat equation (2015) (1)
The Dirichlet problem for nonlocal operators with kernels: Convex and nonconvex domains (2015) (0)
The Pohozaev Identity for the Fractional Laplacian (2014) (0)
Optimal regularity and fine asymptotics for the porous medium equation in bounded domains (2022) (0)
Obstacle problems and free boundaries: an overview (2017) (0)
Geometric Measure Theory and Free Boundary Problems (2021) (0)
UNDERSTANDING SINGULARITIES IN FREE BOUNDARY PROBLEMS (2019) (0)
Generic regularity of free boundaries for the obstacle problem (2020) (0)
The obstacle problem for the fractional Laplacian with critical drift (2017) (0)
On a factorization of Riemann’s ζ function with respect to a quadratic field and its computation (2012) (0)
Optimal regularity for the fully nonlinear thin obstacle problem (2021) (0)
Global Schauder theory for minimizers of the $H^s(\Omega)$ energy (2021) (0)
The Boundary Harnack Principle for Nonlocal Elliptic Operators in Non-divergence Form (2018) (0)
A P ] 2 7 A ug 2 02 1 OPTIMAL REGULARITY FOR SUPERCRITICAL PARABOLIC OBSTACLE PROBLEMS (2021) (0)
Nonlocal Dirichlet problems with $C^{0,\alpha}$ exterior data (2019) (0)
The extremal solution for the fractional Laplacian (2013) (0)
Análisis local de la bifurcación centro-ciclo límite en sistemas planos lineales a trozos (1999) (0)
MFO-RIMS Tandem Workshop: Nonlocality in Analysis, Probability and Statistics (2023) (0)
On a factorization of Riemann’s ζ function with respect to a quadratic field and its computation (2012) (0)

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Other Resources About Xavier Ros-Oton

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What Schools Are Affiliated With Xavier Ros-Oton?

Xavier Ros-Oton is affiliated with the following schools:

Xavier Ros-Oton's Academic­Influence.com Rankings

Why Is Xavier Ros-Oton Influential?

Xavier Ros-Oton's Published Works

Published Works

Other Resources About Xavier Ros-Oton

What Schools Are Affiliated With Xavier Ros-Oton?

Xavier Ros-Oton's AcademicInfluence.com Rankings