Some global bifurcation results for variational inequalities
type: Item
instance of: scholarly article
title: Some global bifurcation results for variational inequalities
zbMATH Open document ID: 0863.49008
author: Vy Khoi Le
published in: Journal of Differential Equations
publication date: 1997-06-03T00:00:00Z
review text: The paper contains a general topological degree approach to a class of bifurcation problems for variational inequalities. This approach is a useful consideration which leads to new results or other proofs of known results. The main problem is here to extend results concerning topological degree to variational inequalities. More precisely, the problem is defined by \(u\in V:\langle A(u)- B(u,\lambda),v-u\rangle+ j(v)-j(u)\geq 0\) for all \(v\in V\), where \(V\) is a reflexive Banach space, \(A: V\to V^*\) a monotone coercive operator, \(B:V\times R\to V^*\) a completely continuous mapping, \(j: V\to R\cup\{\infty\}\) a proper, convex, lower semicontinuous functional and \(\lambda\) denotes the real eigenvalue parameter. In Section 3, the author applies his results to buckling problems for plates and to \(p\)-Laplacian type problems.
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49R50
Mathematics Subject Classification ID: 49J35
Mathematics Subject Classification ID: 74G60
zbMATH DE Number: 946924
zbMATH Keywords: topological degree
zbMATH Keywords: bifircation
zbMATH Keywords: variational inequalities
zbMATH Keywords: buckling problems
reviewed by: Erich Miersemann
MaRDI profile type: Publication
full work available at URL: jdeq.1996.0156
OpenAlex ID: W2074309370
DOI: 10.1006/JDEQ.1996.0156
description: scientific article; zbMATH DE number 946924