J. Serra
Applied Mathematics · Inventiones Mathematicae · 2012–2020
A researcher in the Science corpus: 11 papers; trusts 43 researchers and is trusted by 30 researchers here, as inferred from the citation graph.
Subfields
- Applied Mathematics — 119 citations into it; #665 of 7,620 by trust here, #584 by citations
- Computational Theory and Mathematics — 85 citations into it; #1,930 of 12,182 by trust here, #1,936 by citations
- Mathematical Physics — 43 citations into it; #3,758 of 8,562 by trust here, #3,664 by citations
- Finance — 14 citations into it; #4,714 of 10,518 by trust here, #6,162 by citations
- Control and Systems Engineering — 6 citations into it
- Geometry and Topology — 6 citations into it
- Modeling and Simulation — 6 citations into it
- Numerical Analysis — 6 citations into it
Whom J. Serra trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Luis Caffarelli
- Luis Silvestre
- Xavier Ros-Oton
- X. Cabré
- Krzysztof Bogdan
- M. Fall
- Richard F. Bass
- Raffaella Servadei
- Wenxiong CHEN *
- Gerd Grubb
Who trusts J. Serra overall
- Xavier Ros-Oton
- Xavier Fernández-Real
- Nicola Abatangelo
- Raffaella Servadei
- Gerd Grubb
- Serena Dipierro
- Matteo Bonforte
- Juan Luis V'azquez
- Begoña Barrios
- Enrico Valdinoci
Papers from J. Serra's perspective
Ordered by how strongly the researchers J. Serra trusts endorse each paper. Same corpus, a different order for every researcher.
- Regularity of the obstacle problem for a fractional power of the laplace operator
- An Extension Problem Related to the Fractional Laplacian
- Harnack Inequalities for Jump Processes
- Financial Modelling with Jump Processes
- Regularity theory for fully nonlinear integro‐differential equations
- Nonlinear equations for fractional Laplacians I: Regularity, maximum principles, and Hamiltonian estimates
- Positive solutions of nonlinear problems involving the square root of the Laplacian
- The Evans-Krylov theorem for nonlocal fully nonlinear equations
- Hitchhiker's guide to the fractional Sobolev spaces
- Harnack’s Inequality for Stable Lévy Processes
Their papers
- Regularity theory for general stable operators (2014) — 207 citations
- The Pohozaev Identity for the Fractional Laplacian (2012) — 369 citations
- Fractional Laplacian: Pohozaev identity and nonexistence results (2012) — 56 citations
- The extremal solution for the fractional Laplacian (2013) — 151 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
- On the fine structure of the free boundary for the classical obstacle problem (2017) — 83 citations
- On stable solutions for boundary reactions: a De Giorgi-type result in dimension 4 + 1 (2017) — 48 citations
- Boundary regularity for fully nonlinear integro-differential equations (2014) — 159 citations
- Sharp isoperimetric inequalities via the ABP method (2013) — 124 citations
- The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary (2012) — 929 citations