Nontrivial solutions for a fractional p-Laplacian problem via Rabier Theorem

DOI10.1080/17476933.2016.1245725zbMath1368.35145OpenAlexW2531702752MaRDI QIDQ2980778

Vincenzo Ambrosio

Publication date: 3 May 2017

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2016.1245725

zbMATH Keywords

nontrivial solutionAmbrosetti-Rabinowitz conditionfractional \(p\)-Laplace operator

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Multiple solutions for superlinear fractional problems via theorems of mixed type, Existence results for sub-critical and critical \(p\)-fractional elliptic equations via Nehari manifold method, Schrödinger equations involving fractional p-Laplacian with supercritical exponent, Singular elliptic problem involving a fractional \(p\)-Laplacian with discontinuous nonlinearity, Quasilinear nonlocal elliptic problems with variable singular exponent, Supercritical fractional Kirchhoff type problems, On fractional p-Laplacian type equations with general nonlinearities, Ground state solutions of Schrödinger system with fractional \(p\)-Laplacian, Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces, Ekeland's variational principle for a nonlocal \(p\)-Kirchhoff type eigenvalue problem, On variational nonlinear equations with monotone operators, On a fractional \(p\)-Laplacian equation with critical fractional Sobolev exponent, Fractional \(p \& q\) Laplacian problems in \(\mathbb{R}^N\) with critical growth, Weak solution for fractional \((p_1,\dots,p_m)\)-Laplacian system with Dirichlet-type boundary conditions, On a fractional \(p\)-Laplacian problem with discontinuous nonlinearities, On a fractional \(p \& q\) Laplacian problem with critical Sobolev-Hardy exponents, On the multiplicity and concentration for \(p\)-fractional Schrödinger equations, A Kirchhoff type equation in \(\mathbb{R}^N\) Involving the fractional \((p, q)\)-Laplacian

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