Mountain pass solutions for a double-well energy
type: Item
instance of: scholarly article
title: Mountain pass solutions for a double-well energy
zbMATH Open document ID: 1014.49012
author: Kewei Zhang
published in: Journal of Differential Equations
publication date: 2002-09-08T00:00:00Z
review text: The author proves the existence of at least three critical points of a double-well quasiconvex variational functional arising in the study of material microstructure in geometrically linear elasticity. These critical points represent weak solutions of a suitably associated Neumann boundary value problem. The approach relies on the use of the Mountain Pass Theorem with a weak Palais-Smale condition.
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 74N15
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 1797569
zbMATH Keywords: quasiconvex relaxation
zbMATH Keywords: minimizers
zbMATH Keywords: mountain pass point
zbMATH Keywords: linear elasticity
zbMATH Keywords: critical points
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
full work available at URL: jdeq.2001.4113
OpenAlex ID: W2062500633
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DOI: 10.1006/JDEQ.2001.4113
description: scientific article; zbMATH DE number 1797569