Sign-changing solutions for fourth order elliptic equations with Kirchhoff-type

DOI10.3934/cpaa.2016032zbMath1353.35150OpenAlexW2530821833MaRDI QIDQ334501

Bitao Cheng, Jian Zhang, Xian Hua Tang, Wen Zhang

Publication date: 1 November 2016

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

Full work available at URL: https://doi.org/10.3934/cpaa.2016032

zbMATH Keywords

nonlocal termsign-changing solutionsKirchhoff-typefourth order elliptic equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for higher-order elliptic equations (35J35)

Related Items

On a p⋅-biharmonic problem of Kirchhoff type involving critical growth ⋮ Existence and concentration of ground state sign-changing solutions for Kirchhoff type equations with steep potential well and nonlinearity ⋮ Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials ⋮ Multiple solutions for the fourth-order elliptic equation with vanishing potential ⋮ Infinitely many solutions for Kirchhoff problems with lack of compactness ⋮ Fourth-order elliptic problems involving concave-superlinear nonlinearities ⋮ High energy solutions of modified quasilinear fourth-order elliptic equations with sign-changing potential ⋮ Existence of nonnegative solutions for fourth order elliptic equations of Kirchhoff type with general subcritical growth ⋮ Least energy sign-changing solutions for fourth-order Kirchhoff-type equation with potential vanishing at infinity ⋮ Multiplicity of solutions for a class of fourth-order elliptic equations of \(p(x)\)-Kirchhoff type ⋮ Sign-changing solutions for Schrödinger-Kirchhoff-type fourth-order equation with potential vanishing at infinity

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