Multiple Solutions for an Eigenvalue Problem Involving Non-local Elliptic p-Laplacian Operators

DOI10.1007/978-3-319-02666-4_9zbMath1338.35478OpenAlexW2475460904MaRDI QIDQ2800119

Patrizia Pucci, Sara Saldi

Publication date: 14 April 2016

Published in: Geometric Methods in PDE’s (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-02666-4_9

zbMATH Keywords

variational methodsfractional Sobolev spacesexistence and multiplicity of solutionsfractional elliptic Dirichlet problems

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Boundary value problems for PDEs with pseudodifferential operators (35S15) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

Related Items (9)

Asymptotic stability for nonlinear damped Kirchhoff systems involving the fractional \(p\)-Laplacian operator ⋮ Sign-changing solutions for a class of zero mass nonlocal Schrödinger equations ⋮ On nonlocal Dirichlet problems with oscillating term ⋮ Existence theorems for fractional p-Laplacian problems ⋮ A class of elliptic equations involving nonlocal integrodifferential operators with sign-changing weight functions ⋮ Existence problems on Heisenberg groups involving Hardy and critical terms ⋮ Asymptotically linear fractional \(p\)-Laplacian equations ⋮ Editorial. Progress in nonlinear Kirchhoff problems ⋮ A sharp eigenvalue theorem for fractional elliptic equations

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• On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
• Fractional eigenvalues
• Fractional p-eigenvalues

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