Sign-changing solutions for a class of zero mass nonlocal Schrödinger equations

DOI10.1515/ans-2018-2023zbMath1412.35365arXiv1609.08999OpenAlexW2525691730MaRDI QIDQ2631656

Giovany M. Figueiredo, Giovanni Molica Bisci, Teresa Isernia, Vincenzo Ambrosio

Publication date: 15 May 2019

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.08999

zbMATH Keywords

deformation lemmasign-changing solutionsNehari manifoldfractional Laplacianpotential vanishing at infinity

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Singular nonlinear integral equations (45G05) Fractional partial differential equations (35R11)

Related Items (16)

Least-energy nodal solutions of nonlinear equations with fractional Orlicz–Sobolev spaces ⋮ Multi-peak solutions to fractional nonlinear Schrödinger equation with general nonlinearity ⋮ Sign-changing solution for a generalized Kirchhoff problem in the fractional Orlicz-Sobolev space with nonsmooth nonlinearity ⋮ Fractional p&q-Laplacian problems with potentials vanishing at infinity ⋮ Sign-changing solutions for a fractional Schrödinger–Poisson system ⋮ Ground state sign-changing solution for a large class of \(p(x)\& q(x)\)-quasilinear elliptic equations with nonsmooth nonlinearity ⋮ On critical Schrödinger-Kirchhoff-type problems involving the fractional \(p\)-Laplacian with potential vanishing at infinity ⋮ Existence of ground state sign-changing solutions of fractional Kirchhoff-type equation with critical growth ⋮ Least energy sign-changing solutions for a class of fractional Kirchhoff–Poisson system ⋮ Positive ground state solutions for quasicritical the fractional Klein–Gordon–Maxwell system with potential vanishing at infinity ⋮ On a class of Kirchhoff equations involving an anisotropic operator and potential ⋮ Sign-changing solutions for a fractional Kirchhoff equation ⋮ Multiplicity results for a fractional Schrödinger equation with potentials ⋮ Multiple solutions for a class of fractional logarithmic Schrödinger equations ⋮ Sign-changing solutions for fractional Kirchhoff equations with cubic growth in bounded domains ⋮ Ground state and nodal solutions for fractional Orlicz problems with lack of regularity and without the Ambrosetti-Rabinowitz condition

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