Geodesic
Minimizers with topological singularities in two dimensional elasticity
ESAIM: Control, Optimisation and Calculus of Variations, Tome 14 (2008) no. 1, pp. 192-209

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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∇u vanishes at one point.

DOI : 10.1051/cocv:2007043
Classification : 49K15, 49K20, 49J30, 74B20
Keywords: nonlinear elasticity, singular minimizer, stability 
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     title = {Minimizers with topological singularities in two dimensional elasticity},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {192--209},
     publisher = {EDP-Sciences},
     volume = {14},
     number = {1},
     year = {2008},
     doi = {10.1051/cocv:2007043},
     mrnumber = {2375756},
     zbl = {1140.49014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007043/}
}
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Yan, Xiaodong; Bevan, Jonathan. Minimizers with topological singularities in two dimensional elasticity. ESAIM: Control, Optimisation and Calculus of Variations, Tome 14 (2008) no. 1, pp. 192-209. doi: 10.1051/cocv:2007043

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