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 weak solution for the equilibrium equations is smooth. Moreover, we present an example showing that the assumption is optimal.