# Minimizers with topological singularities in two dimensional elasticity

ESAIM: Control, Optimisation and Calculus of Variations (2008)

- Volume: 14, Issue: 1, page 192-209
- ISSN: 1292-8119

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topYan, Xiaodong, and Bevan, Jonathan. "Minimizers with topological singularities in two dimensional elasticity." ESAIM: Control, Optimisation and Calculus of Variations 14.1 (2008): 192-209. <http://eudml.org/doc/245201>.

@article{Yan2008,

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 $S^\{1\}$; the minimizer $u$ is $C^\{1\}$ and is such that $\det \nabla u$ vanishes at one point.},

author = {Yan, Xiaodong, Bevan, Jonathan},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {nonlinear elasticity; singular minimizer; stability},

language = {eng},

number = {1},

pages = {192-209},

publisher = {EDP-Sciences},

title = {Minimizers with topological singularities in two dimensional elasticity},

url = {http://eudml.org/doc/245201},

volume = {14},

year = {2008},

}

TY - JOUR

AU - Yan, Xiaodong

AU - Bevan, Jonathan

TI - Minimizers with topological singularities in two dimensional elasticity

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2008

PB - EDP-Sciences

VL - 14

IS - 1

SP - 192

EP - 209

AB - 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 $S^{1}$; the minimizer $u$ is $C^{1}$ and is such that $\det \nabla u$ vanishes at one point.

LA - eng

KW - nonlinear elasticity; singular minimizer; stability

UR - http://eudml.org/doc/245201

ER -

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