# Minimizers with topological singularities in two dimensional elasticity

ESAIM: Control, Optimisation and Calculus of Variations (2010)

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

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topBevan, Jonathan, and Yan, Xiaodong. "Minimizers with topological singularities in two dimensional elasticity." ESAIM: Control, Optimisation and Calculus of Variations 14.1 (2010): 192-209. <http://eudml.org/doc/90863>.

@article{Bevan2010,

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 $\det\nabla u$ vanishes at one point.
},

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

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

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

language = {eng},

month = {3},

number = {1},

pages = {192-209},

publisher = {EDP Sciences},

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

url = {http://eudml.org/doc/90863},

volume = {14},

year = {2010},

}

TY - JOUR

AU - Bevan, Jonathan

AU - Yan, Xiaodong

TI - Minimizers with topological singularities in two dimensional elasticity

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

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 S1; the minimizer u is C1
and is such that $\det\nabla u$ vanishes at one point.

LA - eng

KW - Nonlinear elasticity; singular minimizer; stability; nonlinear elasticity

UR - http://eudml.org/doc/90863

ER -

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