Multiple nontrivial solutions to a \(p\)-Kirchhoff equation
type: Item
instance of: scholarly article
title: Multiple nontrivial solutions to a \(p\)-Kirchhoff equation
zbMATH Open document ID: 1248.35018
author: Duchao Liu
author: Peihao Zhao
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2012-07-16T00:00:00Z
Mathematics Subject Classification ID: 35B38
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 35J92
zbMATH DE Number: 6057286
zbMATH Keywords: Morse theory
zbMATH Keywords: local linking
zbMATH Keywords: quasilinear elliptic equation
zbMATH Keywords: Dirichlet boundary condition
MaRDI profile type: Publication
full work available at URL: j.na.2012.04.018
OpenAlex ID: W2046778856
cites work: Q4189540
cites work: On the Well-Posedness of the Kirchhoff String
cites work: Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation
cites work: Global solvability for the degenerate Kirchhoff equation with real analytic data
cites work: Infinitely many positive solutions for Kirchhoff-type problems
cites work: On a class of nonlocal nonlinear elliptic problems
cites work: Some remarks on non local elliptic and parabolic problems
cites work: On existence of solutions for a class of problems involving a nonlinear operator
cites work: On a class of problems involving a nonlocal operator.
cites work: On an elliptic equation of p-Kirchhoff type via variational methods
cites work: Q3437758
cites work: The wave equation for the \(p\)-Laplacian
cites work: Infinitely many positive solutions for a \(p(x)\)-Kirchhoff-type equation
cites work: On a \(p\)-Kirchhoff equation via fountain theorem and dual fountain theorem
cites work: Asymptotic stability for anisotropic Kirchhoff systems
cites work: Positive Solutions for a Class of Nonlocal Elliptic Problems
cites work: Remarks on an elliptic equation of Kirchhoff type
cites work: On a class of nonlocal elliptic problems via Galerkin method
cites work: On the non-linear vibration problem of the elastic string
cites work: Q4396801
cites work: Existence of positive solutions for a problem with lack of compactness involving the \(p\)-Laplacian
cites work: On a \(p\)-Laplace equation with multiple critical nonlinearities
cites work: Many solutions for elliptic equations with critical exponents
cites work: Multiple solutions for a class of nonlinear elliptic problems with a \(p\)-Laplacian type operator
cites work: Existence of a nontrivial weak solution to quasilinear elliptic equations with singular weights and multiple critical exponents
cites work: Q3357929
cites work: Remarks on multiple nontrivial solutions for quasi-linear resonant problems
cites work: Infinite dimensional Morse theory and multiple solution problems
DOI: 10.1016/J.NA.2012.04.018
description: scientific article; zbMATH DE number 6057286