ESAIM: COCV, Vol. 14, N°1, pp. 192-209
DOI: 10.1051/cocv:2007043

Minimizers with topological singularities in two dimensional elasticity

Jonathan Bevan¹ and Xiaodong Yan<sup>2

1</sup>  Department of Mathematics, University of Surrey, Guildford, GU2 7XH, UK; j.bevan@surrey.ac.uk
²  Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA; xiayan@math.msu.edu

(Received October 28, 2005. Revised March 31, 2006. Published online September 21, 2007.)

Abstract
For a class of 2-D elastic energies we show that a radial equilibrium solution is the unique global minimizer in a subclass of all admissible maps. The boundary constraint is a double cover of S¹; the minimizer u is C¹ and is such that vanishes at one point.

Mathematics Subject Classification. 49K15, 49K20, 49J30, 74B20

Key words: Nonlinear elasticity, singular minimizer, stability


© EDP Sciences, SMAI 2007