Nonlinear Dirichlet problem for the nonlocal anisotropic operator \( L_K \)

DOI10.3934/cpaa.2019086zbMath1412.35354arXiv1805.11549OpenAlexW2913855522MaRDI QIDQ2415185

Silvia Frassu

Publication date: 20 May 2019

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

Full work available at URL: https://arxiv.org/abs/1805.11549

zbMATH Keywords

mountain pass theoremvariational methodslocal minimizersfractional Laplacianintegrodifferential operators

Mathematics Subject Classification ID

Integro-differential operators (47G20) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (4)

On nonlinear perturbations of a periodic integrodifferential equation with critical exponential growth ⋮ Strict monotonicity and unique continuation for general non-local eigenvalue problems ⋮ Existence and multiplicity of positive solutions for the fractional Laplacian under subcritical or critical growth ⋮ Sobolev versus Hölder minimizers for the degenerate fractional \(p\)-Laplacian

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