Scaling laws for non-Euclidean plates and the 
 W2,2 isometric immersions of Riemannian metrics

Marta Lewicka; Mohammad Reza Pakzad

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Displaying similar documents to “Scaling laws for non-Euclidean plates and the W2,2 isometric immersions of Riemannian metrics”

Minimizers with topological singularities in two dimensional elasticity

Jonathan Bevan, Xiaodong Yan (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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