Issue |
ESAIM: COCV
Volume 14, Number 1, January-March 2008
|
|
---|---|---|
Page(s) | 192 - 209 | |
DOI | https://doi.org/10.1051/cocv:2007043 | |
Published online | 21 September 2007 |
Minimizers with topological singularities in two dimensional elasticity
1
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:
28
October
2005
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
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