Asymptotically linear fractional \(p\)-Laplacian equations

DOI10.1007/s10231-016-0579-2zbMath1365.35200OpenAlexW2460137810MaRDI QIDQ522146

Rossella Bartolo, Giovanni Molica Bisci

Publication date: 13 April 2017

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-016-0579-2

zbMATH Keywords

variational methodsfractional \(p\)-Laplacianintegro-differential operatorasymptotically linear problemresonant problempseudo-genus

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Boundary value problems for PDEs with pseudodifferential operators (35S15) Singular nonlinear integral equations (45G05) Integro-differential operators (47G20) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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Four solutions for fractional \(p\)-Laplacian equations with asymmetric reactions ⋮ Sign-changing solutions of fractional $p$-Laplacian problems ⋮ Five solutions for the fractional \(p\)-Laplacian with noncoercive energy ⋮ Unnamed Item ⋮ Multi-peak solutions of a class of fractional \(p\)-Laplacian equations ⋮ Fractional \(p \& q\) Laplacian problems in \(\mathbb{R}^N\) with critical growth ⋮ Multiplicity results for fractional Laplace problems with critical growth ⋮ Existence of ground state solutions for a class of nonlinear fractional Schrödinger–Poisson systems with super-quadratic nonlinearity ⋮ Nonlinear equations involving the square root of the Laplacian ⋮ Periodic solutions for nonlocal fractional equations ⋮ Critical fractional elliptic equations with exponential growth ⋮ Periodic solutions for a fractional asymptotically linear problem ⋮ Eigenvalue problems for fractional \(p(x,y)\)-Laplacian equations with indefinite weight

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