Xavier Ros-Oton
Applied Mathematics · 2012–2022
A researcher in the Science corpus: 18 papers; trusts 74 researchers and is trusted by 51 researchers here, as inferred from the citation graph.
Subfields
- Applied Mathematics — 206 citations into it; #280 of 7,620 by trust here, #300 by citations
- Computational Theory and Mathematics — 149 citations into it; #532 of 12,182 by trust here, #752 by citations
- Mathematical Physics — 81 citations into it; #1,789 of 8,562 by trust here, #1,475 by citations
- Finance — 26 citations into it; #6,119 of 10,518 by trust here, #6,162 by citations
- Modeling and Simulation — 16 citations into it
- Geometry and Topology — 11 citations into it
- Control and Systems Engineering — 9 citations into it
- Numerical Analysis — 7 citations into it
Whom Xavier Ros-Oton trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Luis Caffarelli
- Luis Silvestre
- J. Serra
- Krzysztof Bogdan
- X. Cabré
- M. Kassmann
- Nicola Abatangelo
- Guy Barles
- Raffaella Servadei
- Gerd Grubb
Who trusts Xavier Ros-Oton overall
- Nicola Garofalo
- J. Serra
- Xavier Fernández-Real
- Nicola Abatangelo
- Gerd Grubb
- Raffaella Servadei
- Serena Dipierro
- Juan Luis V'azquez
- Matteo Bonforte
- Enrico Valdinoci
Papers from Xavier Ros-Oton's perspective
Ordered by how strongly the researchers Xavier Ros-Oton trusts endorse each paper. Same corpus, a different order for every researcher.
- An Extension Problem Related to the Fractional Laplacian
- Financial Modelling with Jump Processes
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Regularity theory for fully nonlinear integro‐differential equations
- Harnack Inequalities for Jump Processes
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Positive solutions of nonlinear problems involving the square root of the Laplacian
- Nonlinear equations for fractional Laplacians I: Regularity, maximum principles, and Hamiltonian estimates
- The Evans-Krylov theorem for nonlocal fully nonlinear equations
- Hitchhiker's guide to the fractional Sobolev spaces
Their papers
- Regularity theory for general stable operators (2014) — 207 citations
- Sobolev and isoperimetric inequalities with monomial weights (2012) — 128 citations
- The Pohozaev Identity for the Fractional Laplacian (2012) — 369 citations
- Fractional Laplacian: Pohozaev identity and nonexistence results (2012) — 56 citations
- Nonlocal elliptic equations in bounded domains: a survey (2015) — 243 citations
- Nonlocal problems with Neumann boundary conditions (2014) — 265 citations
- Global regularity for the free boundary in the obstacle problem for the fractional Laplacian (2015) — 58 citations
- Regularity theory for general stable operators: parabolic equations (2015) — 89 citations
- The extremal solution for the fractional Laplacian (2013) — 151 citations
- Regularity Theory for Elliptic PDE (2022) — 112 citations
- Generic regularity of free boundaries for the obstacle problem (2020) — 71 citations
- Stable solutions to semilinear elliptic equations are smooth up to dimension $9$ (2019) — 80 citations
- Obstacle problems for integro-differential operators: Higher regularity of free boundaries (2019) — 57 citations
- Infinite Speed of Propagation and Regularity of Solutions to the Fractional Porous Medium Equation in General Domains (2015) — 55 citations
- Boundary regularity for fully nonlinear integro-differential equations (2014) — 159 citations
- Sharp isoperimetric inequalities via the ABP method (2013) — 124 citations
- Regularity of Stable Solutions up to Dimension 7 in Domains of Double Revolution (2012) — 64 citations
- The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary (2012) — 929 citations