A unified approach to a class of strongly indefinite functionals
type: Item
instance of: scholarly article
title: A unified approach to a class of strongly indefinite functionals
zbMATH Open document ID: 0890.47038
author: Celius A. Magalhães
author: David G. Costa
published in: Journal of Differential Equations
publication date: 1998-06-28T00:00:00Z
review text: For a class of strongly indefinite functionals (i.e. functionals that are neither bounded from below or from above, even modulo subspaces of finite dimension or codimension) the authors prove some abstract results concerning the existence of a critical point. Applications of these abstract results to Hamiltonian systems, semilinear wave equations and noncooperative elliptic systems are presented.
reviewed by: Michael Perelmuter
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 46A22
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 877805
zbMATH Keywords: strongly indefinite functionals
zbMATH Keywords: existence of a critical point
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: semilinear wave equations
zbMATH Keywords: noncooperative elliptic systems
MaRDI profile type: Publication
full work available at URL: jdeq.1996.0039
OpenAlex ID: W2014790336
DOI: 10.1006/JDEQ.1996.0039
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description: scientific article; zbMATH DE number 877805