A nonlocal concave-convex problem with nonlocal mixed boundary data

DOI10.3934/CPAA.2018053zbMath1395.35190arXiv1611.09902OpenAlexW2963543738MaRDI QIDQ1659584

A. Dieb, Enrico Valdinoci, Boumediene Abdellaoui

Publication date: 22 August 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.09902

zbMATH Keywords

weak solutionsfractional Laplacianmixed boundary conditionintegro differential operatorsmultiplicity of positive solution

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Variational methods applied to PDEs (35A15) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11) Topological and monotonicity methods applied to PDEs (35A16)

Related Items (2)

Attainability of the fractional Hardy constant with nonlocal mixed boundary conditions: applications ⋮ Regularity of solutions to a fractional elliptic problem with mixed Dirichlet-Neumann boundary data

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