Some constancy results for nematic liquid crystals and harmonic maps
type: Item
instance of: scholarly article
title: Some constancy results for nematic liquid crystals and harmonic maps
zbMATH Open document ID: 0843.35027
DOI: 10.1016/S0294-1449(16)30169-X
author: Kai-Seng Chou
author: Xi-Ping Zhu
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 1996-08-15T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78354
review text: The paper deals with the question, whether a stationary point for the bulk energy (of a liquid crystal), which is equal to a constant on the boundary of the domain, occupied by the material, must become a constant throughout this domain. Five theorems are proved expanding considerably known dependencies between existence of such solutions and star-shapeness of the domain. But there are also results about non-starshaped bounded domains.
reviewed by: Alfred Göpfert
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 834231
zbMATH Keywords: harmonic maps
zbMATH Keywords: Pokhozaev identity
MaRDI profile type: Publication
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OpenAlex ID: W2265042628
description: scientific article; zbMATH DE number 834231