Applications of local linking to critical point theory
type: Item
instance of: scholarly article
title: Applications of local linking to critical point theory
zbMATH Open document ID: 0820.58012
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-08-31T00:00:00Z
review text: The notion of local linking is extended to case where the Banach space is decomposed into a direct sum of two infinite dimensional linear subspaces [see \textit{H. Brezis} and \textit{L. Nirenberg}, Commun. Pure Appl. Math. 44, No. 8/9, 939-963 (1991; Zbl 0751.58006)]. Some existence theorems for nontrivial critical points of functionals with a local linking at 0 are extended. Applications to elliptic BVP and to Hamiltonian systems are given.
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 743884
zbMATH Keywords: elliptic boundary value problem
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: critical points
zbMATH Keywords: local linking
author: Shujie Li
author: Michel Willem
reviewed by: Kung Ching Chang
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1002
OpenAlex ID: W2082246574
DOI: 10.1006/JMAA.1995.1002
description: scientific article; zbMATH DE number 743884