The existence and nonexistence results of ground state nodal solutions for a Kirchhoff type problem

DOI10.3934/cpaa.2017030zbMath1358.35023OpenAlexW2574336942MaRDI QIDQ507302

Xiao-Jing Zhong, Chun-Lei Tang

Publication date: 3 February 2017

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2017030

zbMATH Keywords

ground statenonlocal termnodal solutionNehari manifoldKirchhoff type problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

Related Items (12)

Least energy nodal solution for Kirchhoff type problem with an asymptotically 4-linear nonlinearity ⋮ Infinitely many nodal solutions for Kirchhoff-type equations with non-odd nonlinearity ⋮ The existence and concentration of ground state sign-changing solutions for Kirchhoff-type equations with a steep potential Well ⋮ Ground state sign-changing solutions for Schrödinger-Kirchhoff equation with asymptotically cubic or supercubic nonlinearity ⋮ Existence and bifurcation behavior of positive solutions for a class of Kirchhoff-type problems ⋮ Ground state sign-changing solutions for a Kirchhoff equation with asymptotically 3-linear nonlinearity ⋮ Ground state sign-changing solutions for a class of nonlocal problem ⋮ Asymptotic behavior for a fourth-order parabolic equation involving the Hessian ⋮ Existence and non-existence results for Kirchhoff-type problems with convolution nonlinearity ⋮ Nodal solutions for a critical Kirchhoff type problem in \(\mathbb{R}^N\) ⋮ Sign-changing and nontrivial solutions for a class of Kirchhoff-type problems ⋮ Sign-changing solutions for fractional Kirchhoff equations with cubic growth in bounded domains

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