Infinitely many sign-changing solutions for a nonlocal problem

DOI10.1007/s10231-018-0731-2zbMath1405.35248OpenAlexW2788958143MaRDI QIDQ1756416

Guangze Gu, Fukun Zhao, Wei Zhang

Publication date: 14 January 2019

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/s10231-018-0731-2

zbMATH Keywords

nonlocal probleminfinitely many sign-changing solutionsinvariant set of descending flowintegrodifferential operator

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)

Related Items

Infinitely many positive solutions for a nonlocal problem ⋮ Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions ⋮ Tempered random attractors of a non-autonomous non-local fractional equation driven by multiplicative white noise ⋮ Existence of ground state sign-changing solutions of fractional Kirchhoff-type equation with critical growth ⋮ Infinitely many sign-changing solutions for planar Schrödinger-Newton equations ⋮ Existence and multiplicity of solutions for the equation with nonlocal integrodifferential operator ⋮ Ground state and nodal solutions for fractional Kirchhoff equation with pure critical growth nonlinearity ⋮ Ground states for asymptotically periodic fractional Kirchhoff equation with critical Sobolev exponent ⋮ Existence of multiple non-trivial solutions for a nonlocal problem ⋮ Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity

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