Multiplicity results for fractional Laplace problems with critical growth

DOI10.1007/s00229-017-0947-2zbMath1390.35395arXiv1607.04462OpenAlexW2481823194MaRDI QIDQ1702670

Alessio Fiscella, Giovanni Molica Bisci, Raffaella Servadei

Publication date: 28 February 2018

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.04462

zbMATH Keywords

non-trivial solutionsnon-trivial critical pointfractional Laplacian equationsnon local problem

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Boundary value problems for PDEs with pseudodifferential operators (35S15) Singular nonlinear integral equations (45G05) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

Related Items (14)

Infinitely many solutions for a doubly nonlocal fractional problem involving two critical nonlinearities ⋮ The Nehari manifold for a fractional critical Choquard equation involving sign-changing weight functions ⋮ The effect of the domain topology on the number of solutions of fractional Laplace problems ⋮ Critical problem for the fractional Laplacian operator with sign changing data ⋮ Variational analysis for nonlocal Yamabe-type systems ⋮ On a fractional \(p\)-Laplacian equation with critical fractional Sobolev exponent ⋮ Existence results and bifurcation for nonlocal fractional problems with critical Sobolev exponent ⋮ Unnamed Item ⋮ The concentration-compactness principles for \(W^{s,p(\cdot,\cdot)}(\mathbb{R}^N)\) and application ⋮ Three solutions for a nonlocal problem with critical growth ⋮ Existence and multiplicity of positive solutions to fractional Laplacian systems with combined critical Sobolev terms ⋮ On a fractional \(p-q\) Laplacian equation with critical nonlinearity ⋮ Eigenvalue problems for fractional \(p(x,y)\)-Laplacian equations with indefinite weight ⋮ Solutions for the fractional p-Laplacian systems with several critical Sobolev-Hardy terms

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