A simple proof of the characterization of functions of low Aviles Giga energy on a ball via regularity
type: Item
instance of: scholarly article
zbMATH Open document ID: 1259.49077
author: Andrew Lorent
publication date: 2012-08-31T00:00:00Z
full work available at URL: https://arxiv.org/abs/1004.2274
full work available at URL: https://eudml.org/doc/221934
Mathematics Subject Classification ID: 49S05
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 49N60
zbMATH DE Number: 6074756
zbMATH Keywords: Aviles Giga functional
zbMATH Keywords: liquid crystals
zbMATH Keywords: compensated compactness
MaRDI profile type: Publication
OpenAlex ID: W1997753603
arXiv ID: 1004.2274
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DOI: 10.1051/COCV/2010102
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title: A simple proof of the characterization of functions of low Aviles Giga energy on a ball via regularity
published in: European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
review text: The purpose of the present paper is twofold. First, the author provides a simple proof of a characterization of the minimizers of the Aviles Giga energy on a ball with a sharper estimate. Second, it is given a proof without the trace condition on the gradient. The proof of the main result is based on methods of regularity theory and ordinary differential equations.
reviewed by: Teodora-Liliana Rădulescu
description: scientific article; zbMATH DE number 6074756