On a new notion of linking and application to elliptic problems at resonance
type: Item
instance of: scholarly article
title: On a new notion of linking and application to elliptic problems at resonance
zbMATH Open document ID: 0922.35044
published in: Journal of Differential Equations
publication date: 1999-10-11T00:00:00Z
review text: In critical point theory the notion of linking is very important. There are many various definitions of linking (homotopical, homological, local, linking in the sense of Benci-Rabinowitz). The author introduces a new notion of linking which includes in particular the notions of homotopical linking and local linking. He presents also minimax critical point theorems and obtains as particular cases generalizations of many results such as the moutain pass theorem, saddle point theorem, minimax theorem. Also an application to nonlinear elliptic boundary value problems at resonance is presented.
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 49J35
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 49K35
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 1278768
zbMATH Keywords: minimax theorem
zbMATH Keywords: saddle point theorem
zbMATH Keywords: mountain pass theorem
author: Marlène Frigon
reviewed by: Wiesław Kotarski
MaRDI profile type: Publication
full work available at URL: jdeq.1998.3540
OpenAlex ID: W2051253418
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DOI: 10.1006/JDEQ.1998.3540
description: scientific article; zbMATH DE number 1278768