The computations of the critical groups with an application to elliptic resonant problems at a higher eigenvalue
type: Item
instance of: scholarly article
title: The computations of the critical groups with an application to elliptic resonant problems at a higher eigenvalue
zbMATH Open document ID: 0935.35055
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-10-25T00:00:00Z
review text: The authors study the existence of a nontrivial solution of the elliptic problem which is of resonant type both at the origin and at infinity with the same higher eigenvalue and the nonlinear term is permitted to be unbounded. The main ingredient is the computation of the critical groups.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 1332888
zbMATH Keywords: resonance
zbMATH Keywords: Morse index
zbMATH Keywords: critical group
author: Shujie Li
author: Wenming Zou
reviewed by: Stefan Balint
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6396
OpenAlex ID: W2065081615
cites work: Q5588800
cites work: On a class of resonant problems at higher eigenvalues
cites work: Multiplicity results for semilinear elliptic problems at resonance and with jumping nonlinearities
cites work: Bounded resonance problems for semilinear elliptic equations
cites work: Linking theorems and applications to semilinear elliptic problems at resonance
cites work: Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
cites work: Infinite dimensional Morse theory and multiple solution problems
cites work: Morse theory on Branach space and its applications to partial differential equations
cites work: Critical point theory and Hamiltonian systems
cites work: On differentiable functions with isolated critical points
cites work: The Hampwile theorem for nonlinear eigenvalues
cites work: Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
cites work: Q3876715
cites work: Nontrivial critical points for asymptotically quadratic functions
DOI: 10.1006/JMAA.1999.6396
description: scientific article; zbMATH DE number 1332888