Solutions for fourth-order Kirchhoff type elliptic equations involving concave-convex nonlinearities in \(\mathbb{R}^N\)

DOI10.1016/j.camwa.2019.07.007zbMath1448.35252arXiv1907.03200OpenAlexW2955303942MaRDI QIDQ2004505

Fengying Li, Dong-Lun Wu

Publication date: 7 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03200

zbMATH Keywords

variational methodsexistence and multiplicity of solutionsfourth-order Kirchhoff type elliptic equations

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for higher-order elliptic equations (35J35) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (8)

On a p⋅-biharmonic problem of Kirchhoff type involving critical growth ⋮ Existence results of positive solutions for Kirchhoff type biharmonic equationvia bifurcation methods ⋮ Homoclinic solutions for ordinary \(p\)-Laplacian systems with local super-\(p\) linear conditions ⋮ Existence and multiplicity of solutions for sublinear Schrödinger equations with coercive potentials ⋮ Multiple solutions for Schrödinger equations involving concave-convex nonlinearities without (\textit{AR})-type condition ⋮ New homoclinic orbits for Hamiltonian systems with asymptotically quadratic growth at infinity ⋮ Multiplicity of solutions for a class of fourth-order elliptic equations of \(p(x)\)-Kirchhoff type ⋮ Infinitely many solutions for a class of sublinear fractional Schrödinger equations with indefinite potentials

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