Patricio Felmer

Applied Mathematics · 2000–2013

A researcher in the Science corpus: 14 papers; trusts 24 researchers and is trusted by 35 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 57 citations into it; #867 of 7,620 by trust here, #407 by citations
• Computational Theory and Mathematics — 39 citations into it; #1,337 of 12,182 by trust here, #822 by citations
• Mathematical Physics — 23 citations into it; #1,324 of 8,562 by trust here, #754 by citations
• Control and Systems Engineering — 9 citations into it
• Modeling and Simulation — 8 citations into it
• Geometry and Topology — 5 citations into it; #6,718 of 7,422 by trust here, #6,132 by citations

Whom Patricio Felmer trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. X. Cabré
2. Luis Silvestre
3. Luis Caffarelli
4. Yanyan Li
5. Wenxiong CHEN *
6. Yannick Sire
7. D. Labutin
8. Li Ma
9. Congming LI #
10. Nestor Guillen

Who trusts Patricio Felmer overall

1. Alexander Quaas
2. Manuel del Pino
3. Simone Secchi
4. Jun-cheng Wei
5. Serena Dipierro
6. Jaeyoung Byeon
7. G. Autuori
8. Boyan Sirakov
9. J. D'avila
10. Monica Musso

Papers from Patricio Felmer's perspective

Ordered by how strongly the researchers Patricio Felmer trusts endorse each paper. Same corpus, a different order for every researcher.

1. Regularity of the obstacle problem for a fractional power of the laplace operator
2. Classification of solutions for an integral equation
3. Second-order elliptic integro-differential equations: viscosity solutions' theory revisited
4. Regularity theory for fully nonlinear integro‐differential equations
5. Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
6. Financial Modelling with Jump Processes
7. Regularity Results for Nonlocal Equations by Approximation
8. The Evans-Krylov theorem for nonlocal fully nonlinear equations
9. An Extension Problem Related to the Fractional Laplacian
10. Aleksandrov–Bakelman–Pucci Type Estimates for Integro-Differential Equations

Their papers

• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian (2012) — 777 citations
• Radial symmetry of positive solutions to equations involving the fractional laplacian (2013) — 109 citations
• Two-bubble solutions in the super-critical Bahri-Coron's problem (2003) — 187 citations
• On the role of distance function in some singular perturbation problems (2000) — 64 citations
• Multi‐Bubble Solutions for Slightly Super‐Critical Elliptic Problems in Domains with Symmetries (2003) — 59 citations
• Positive radial solutions to a ‘semilinear’ equation involving the Pucci's operator (2004) — 66 citations
• Alexandroff–Bakelman–Pucci estimate for singular or degenerate fully nonlinear elliptic equations (2009) — 56 citations
• Large solutions to elliptic equations involving fractional Laplacian (2013) — 86 citations
• Fundamental solutions and liouville type theorems for nonlinear integral operators (2011) — 94 citations
• On critical exponents for the Pucci's extremal operators (2003) — 69 citations
• Harnack inequality for singular fully nonlinear operators and some existence results (2010) — 63 citations
• Erratum: "Two-bubble solutions in the super-critical Bahri-Coron's problem" [Calc. Var. Partial Differential Equations 16 (2003), no. 2, 113--145; MR1956850] (2004) — 59 citations
• Semi-classical states of nonlinear Schrödinger equations: a variational reduction method (2002) — 211 citations
• Multi-peak solutions for some singular perturbation problems (2000) — 50 citations