Remarks on eigenvalue problems for fractional p ( · )-Laplacian

DOI10.3233/ASY-201628zbMath1473.35381arXiv2004.02048OpenAlexW3035792631MaRDI QIDQ5000012

Anouar Bahrouni, Ky Ho

Publication date: 5 July 2021

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.02048

zbMATH Keywords

variational methodsfractional Sobolev spacesvariable exponentssequences of eigenvalues

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods applied to PDEs (35A15) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (6)

Least-energy nodal solutions of nonlinear equations with fractional Orlicz–Sobolev spaces ⋮ Multiplicity results for elliptic problems involving nonlocal integrodifferential operators without Ambrosetti-Rabinowitz condition ⋮ The topological degree methods for the fractional p(·)-Laplacian problems with discontinuous nonlinearities ⋮ Infinitely many solutions for a class of fractional Robin problems with variable exponents ⋮ Nehari manifold for singular fractionalp(x,.)-Laplacian problem ⋮ Solutions of the mean curvature equation with the Nehari manifold

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