Nonlinear Dirichlet problem with non local regional diffusion

DOI10.1515/FCA-2016-0020zbMath1404.35481OpenAlexW2426665681MaRDI QIDQ281426

César E. Torres Ledesma

Publication date: 11 May 2016

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2016-0020

zbMATH Keywords

critical point theoryfractional Sobolev spacemountain pass conditionsnon local regional diffusion

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Singular nonlinear integral equations (45G05) Fractional partial differential equations (35R11)

Related Items (5)

Multiplicity of solutions for a class of nonlocal regional elliptic equations ⋮ Existence of solutions for critical Fractional FitzHugh–Nagumo type systems ⋮ Existence and multiplicity of solutions for a non-linear Schrödinger equation with non-local regional diffusion ⋮ A critical nonlinear elliptic equation with nonlocal regional diffusion ⋮ EXISTENCE AND CONCENTRATION OF SOLUTION FOR A NON-LOCAL REGIONAL SCHRÖDINGER EQUATION WITH COMPETING POTENTIALS

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