Applications of Morse theory to some nonlinear elliptic equations with resonance at zero
type: Item
instance of: scholarly article
title: Applications of Morse theory to some nonlinear elliptic equations with resonance at zero
zbMATH Open document ID: 1304.35309
author: Rushun Tian
author: Leiga Zhao
author: Mingzheng Sun
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2014-12-03T00:00:00Z
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 35B34
zbMATH DE Number: 6376480
zbMATH Keywords: nonlinear elliptic equations
zbMATH Keywords: Morse theory
zbMATH Keywords: resonance
MaRDI profile type: Publication
full work available at URL: j.na.2014.10.004
OpenAlex ID: W2013368967
cites work: Q4879409
cites work: Nodal solutions of a p-Laplacian equation
cites work: Sign-changing and multiple solutions for the \(p\)-Laplacian
cites work: Methods in Nonlinear Analysis
cites work: Infinite dimensional Morse theory and multiple solution problems
cites work: The Conley index and the critical groups via an extension of Gromoll-Meyer theory
cites work: Some remarks on the Fučík spectrum of the \(p\)-Laplacian and critical groups
cites work: Variational and topological methods for Dirichlet problems with \(p\)-Laplacian
cites work: Existence and multiplicity for a resonance problem for the \(p\)-Laplacian on bounded domains in \(\mathbb R^N\)
cites work: On differentiable functions with isolated critical points
cites work: SOLUTIONS OF p-SUBLINEAR p-LAPLACIAN EQUATION VIA MORSE THEORY
cites work: Critical groups and multiple solutions of the \(p\)-Laplacian equations
cites work: Some qualitative results of the critical groups for the \(p\)-Laplacian equations
cites work: Existence and multiplicity results for Dirichlet problems with \(p\)-Laplacian.
cites work: Nontrivial critical points for asymptotically quadratic functions
cites work: On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
cites work: Existence of multiple solutions of a two-point boundary value problem at resonance
cites work: Q3357929
cites work: Remarks on multiple nontrivial solutions for quasi-linear resonant problems
cites work: Multiple solutions for asymptotically linear boundary value problems in which the nonlinearity crosses at least one eigenvalue
cites work: Applications of local linking to critical point theory
cites work: Critical point theory and Hamiltonian systems
cites work: Q3560017
cites work: Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues
cites work: Multiplicity results for asymptotically linear elliptic problems at resonance.
cites work: Multiplicity results for two-point boundary value problems at resonance
cites work: Nontrivial solutions of a semilinear elliptic problem with resonance at zero
cites work: Multiple solutions for indefinite functionals and applications to asymptotically linear problems
cites work: On sign-changing and multiple solutions of the \(p\)-Laplacian.
DOI: 10.1016/J.NA.2014.10.004
description: scientific article; zbMATH DE number 6376480