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On double-covering stationary points of a constrained Dirichlet energy

Bevan, JJ (2013) On double-covering stationary points of a constrained Dirichlet energy Annales de l'Institut Henri Poincare / Analyse non lineaire.

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Abstract

This paper examines the conjecture that $\udc$ is the global minimizer of the Dirichlet energy $I(\bu) = \int_{B}|\nabla \bu|^{2}\,d\bx$ among all $W^{1,2}$ mappings $\bu$ of the unit ball $B \subset \mathbb{R}^{2}$ satisfying (i) $\bu =\udc$ on $\partial B$, and (ii) $\det \nabla \bu = 1$ almost everywhere.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Bevan, JJUNSPECIFIEDUNSPECIFIED
Date : 2 May 2013
Identification Number : 10.1016/j.anihpc.2013.04.001
Contributors :
ContributionNameEmailORCID
EditorFrancfort, GUNSPECIFIEDUNSPECIFIED
Related URLs :
Additional Information : NOTICE: this is the author’s version of a work that was accepted for publication in Annales de l'Institut Henri Poincare / Analyse non lineaire. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Annales de l'Institut Henri Poincare / Analyse non lineaire, May 2013, DOI 10.1016/j.anihpc.2013.04.001 .
Depositing User : Symplectic Elements
Date Deposited : 04 Jul 2013 08:45
Last Modified : 23 Sep 2013 20:09
URI: http://epubs.surrey.ac.uk/id/eprint/775897

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