Nontrivial solutions for discrete Kirchhoff-type problems with resonance via critical groups
type: Item
instance of: scholarly article
title: Nontrivial solutions for discrete Kirchhoff-type problems with resonance via critical groups
zbMATH Open document ID: 1391.39013
DOI: 10.1186/1687-1847-2013-308
author: Jinping Yang
author: Jinsheng Liu
published in: Advances in Difference Equations
publication date: 2018-07-17T00:00:00Z
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 49R05
zbMATH DE Number: 6904682
zbMATH Keywords: discrete Kirchhoff-type problem
zbMATH Keywords: variational method
zbMATH Keywords: critical point
zbMATH Keywords: critical group
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1186/1687-1847-2013-308
OpenAlex ID: W2103401325
Wikidata QID: Q59301978
cites work: Nontrivial solutions of Kirchhoff-type problems via the Yang index
cites work: Resonance problems for Kirchhoff type equations
cites work: Nontrivial periodic solutions for asymptotically linear resonant difference problem
cites work: Multiple positive solutions for resonant difference equations
cites work: Existence and multiplicity of solutions of second-order difference boundary value problems
cites work: Existence of multiple solutions of a second-order difference boundary value problem
cites work: Multiple solutions for boundary value problems of second-order difference equations with resonance
cites work: Multiple periodic solutions for difference equations with double resonance at infinity
cites work: Nontrivial solutions for resonant difference systems via computations of the critical groups
cites work: Nontrivial solutions for discrete boundary value problems with multiple resonance via computations of the critical groups
cites work: Nontrivial solutions of a second order difference systems with multiple resonance
cites work: Existence of non-trivial solutions for resonant difference equations
cites work: Q4189540
cites work: Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
cites work: Existence of a positive solution to Kirchhoff-type problems without compactness conditions
cites work: Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
cites work: Nontrivial solutions of a class of nonlocal problems via local linking theory
cites work: Q5185568
cites work: Infinite dimensional Morse theory and multiple solution problems
cites work: Q3357929
cites work: Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues
Recommended article: Nontrivial solutions for discrete boundary value problems with multiple resonance via computations of the critical groups
Recommended article: Nontrivial solutions for resonant difference systems via computations of the critical groups
Recommended article: Q5426664
Recommended article: Nontrivial solutions for resonant cooperative elliptic systems via computations of critical groups
Recommended article: Computation of critical groups in resonance problems where the nonlinearity may not be sublinear.
Recommended article: Nontrivial solutions for resonant cooperative elliptic systems via computations of the critical groups
Recommended article: Multiple results on nontrivial solutions of discrete Kirchhoff type problems
Recommended article: Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory
Recommended article: Computations of critical groups and applications to some differential equations at resonance
Recommended article: Solutions for critical Kirchhoff-type problems with near resonance
description: scientific article; zbMATH DE number 6904682