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Maximal smoothness for solutions to equilibrium equations in 2D nonlinear elasticity
Authors:Xiaodong Yan
Affiliation:Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
Abstract:For a class of variational integrals from 2D nonlinear elasticity, we prove that any $ W^{2,2}cap C^{1}$weak solution for the equilibrium equations is smooth. Moreover, we present an example showing that the assumption $ uin$ $ W^{2,2}$ is optimal.

Keywords:Equilibrium equations   weak solution   maximal smoothness
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