Sign-changing solutions for the stationary Kirchhoff problems involving the fractional Laplacian in \(\mathbb{R}^N\)

DOI10.1016/S0252-9602(18)30841-5zbMath1438.35139arXiv1701.03862OpenAlexW2963974587MaRDI QIDQ2313168

Kun Cheng, Qi Gao

Publication date: 18 July 2019

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.03862

zbMATH Keywords

Kirchhoff equationsign-changing solutionsfractional Laplacian

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11)

Related Items

Uniqueness and concentration for a fractional Kirchhoff problem with strong singularity, Asymptotic behavior of the unique solution for a fractional Kirchhoff problem with singularity, Existence of nontrivial solutions for Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian and local nonlinearity, On the existence of solutions to a fractional \((p, q)\)-Laplacian system on bounded domains, Least energy sign-changing solutions of fractional Kirchhoff–Schrödinger–Poisson system with critical and logarithmic nonlinearity, Sign-changing solutions for Kirchhoff-type problems involving variable-order fractional Laplacian and critical exponents, Ground state and nodal solutions for fractional Schrödinger-Maxwell-Kirchhoff systems with pure critical growth nonlinearity, Least energy sign-changing solutions of fractional Kirchhoff-Schrödinger-Poisson system with critical growth, Multiple solutions for fractional Kirchhoff equation with critical or supercritical nonlinearity, 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, Sign-changing solutions for fractional Kirchhoff-type equations with critical and supercritical nonlinearities, Ground state and nodal solutions for fractional Kirchhoff equation with pure critical growth nonlinearity, Sign-changing solutions for fractional Kirchhoff equations with cubic growth in bounded domains, On solutions for a class of fractional Kirchhoff-type problems with Trudinger–Moser nonlinearity

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