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Minimizers with topological singularitiesin two dimensional elasticity

Published online by Cambridge University Press:  21 September 2007

Jonathan Bevan  and
Xiaodong Yan
Jonathan Bevan
Affiliation:
Department of Mathematics, University of Surrey, Guildford, GU2 7XH, UK; [email protected]
Xiaodong Yan
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA; [email protected]
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Abstract

For a class of 2-D elastic energies we show that a radial equilibrium solutionis the unique global minimizer in a subclass of all admissible maps. Theboundary constraint is a double cover of S 1; the minimizer u is C 1and is such that $\det\nabla u$ vanishes at one point.


Keywords

Nonlinear elasticitysingular minimizerstability
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 14 , Issue 1 , January 2008 , pp. 192 - 209
Copyright
© EDP Sciences, SMAI, 2007

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