Infinite-dimensional linking
type: Item
instance of: scholarly article
title: Infinite-dimensional linking
zbMATH Open document ID: 0953.58009
DOI: 10.1215/S0012-7094-98-09423-6
published in: Duke Mathematical Journal
publication date: 2000-03-27T00:00:00Z
review text: A new concept of linking has been introduced by the author and \textit{K. Tintarev} in Bull. Soc. Math. Belg., Ser. B 44, No. 3, 249-261 (1992; Zbl 0785.58017). In the present paper the author extends this concept to the situation when both linking sets are infinite-dimensional and uses it to prove an abstract critical point theorem for a class of strongly indefinite functionals. An application to the existence of nontrivial solutions of an asymptotically linear elliptic system with ``jumping'' linearization at infinity is given.
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 47J05
zbMATH DE Number: 1425149
zbMATH Keywords: critical points
zbMATH Keywords: linking
zbMATH Keywords: strongly indefinite functionals
zbMATH Keywords: semilinear elliptic system
zbMATH Keywords: jumping nonlinearities
author: Martin Schechter
reviewed by: Vitaly Moroz
MaRDI profile type: Publication
cites work: Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
cites work: On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
cites work: Critical point theorems for indefinite functionals
cites work: Variational and topological methods in nonlinear problems
cites work: Q3749777
cites work: Semilinear boundary value problems of the strong resonance type
cites work: Q3135689
full work available at URL: s0012-7094-98-09423-6
OpenAlex ID: W1970237198
description: scientific article; zbMATH DE number 1425149