A new Morse theory and strong resonance problems
type: Item
instance of: scholarly article
title: A new Morse theory and strong resonance problems
zbMATH Open document ID: 1053.58005
DOI: 10.12775/TMNA.2003.005
published in: Topological Methods in Nonlinear Analysis
publication date: 2004-03-08T00:00:00Z
review text: In this interesting paper the author presents a Morse type theory for functions \(f\) which do not satisfy the (PS) condition at some isolated values. He also considers some multiplicity results for strong resonance problems in connection to multiple resonant energy levels. I want to mention that such a theory was first introduced by \textit{T. Bartsch} and the author [Nonlinear Anal., Theory Methods Appl. 28, No. 3, 419--441 (1997; Zbl 0872.58018)] for the local behavior of functions \(f\) near infinity.
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 2052552
zbMATH Keywords: Morse theory
zbMATH Keywords: strong resonance problems
zbMATH Keywords: elliptic boundary value problems
author: Shujie Li
reviewed by: Dorin Andrica
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2052552