Existence of solutions for the Neumann boundary problem of Kirchhoff type equations

DOI10.4171/JST/255zbMath1418.35142OpenAlexW2898541106WikidataQ129050891 ScholiaQ129050891MaRDI QIDQ2422541

Hong-Min Suo, Yu-Cheng An

Publication date: 19 June 2019

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jst/255

zbMATH Keywords

existence of solutionsvariational methodsKirchhoff-type equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (1)

Three solutions for a new Kirchhoff-type problem

Cites Work

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• Existence of solutions for Kirchhoff type problems with resonance at higher eigenvalues
• On some nonlocal eigenvalue problems
• The critical Neumann problem of Kirchhoff type
• Nontrivial solutions of Kirchhoff-type problems via the Yang index
• Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
• Existence results of positive solutions of Kirchhoff type problems
• Nontrivial solutions of a class of nonlocal problems via local linking theory
• Resonance problems for Kirchhoff type equations
• Multiplicity of nontrivial solutions for a critical degenerate Kirchhoff type problem
• Eigenvalue problems for the \(p\)-Laplacian
• Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
• Infinitely many positive solutions for Kirchhoff-type problems
• Multiple solutions for a class of p(x)-Kirchhoff type problems with Neumann boundary conditions
• Small amplitude periodic solutions for Kirchhoff equations with Neumann conditions

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