Minimizers with topological singularities in two dimensional elasticity
Department of Mathematics, University of Surrey, Guildford, GU2 7XH, UK;
2 Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA; email@example.com
Revised: 31 March 2006
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