Maximal smoothness for solutions to equilibrium equations in 2D nonlinear elasticity

被引：7

作者：

Yan, Xiaodong ^{[1
]}

机构：

[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 06期

基金：

美国国家科学基金会;

关键词：

equilibrium equations; weak solution; maximal smoothness;

D O I：

10.1090/S0002-9939-06-08645-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a class of variational integrals from 2D nonlinear elasticity, we prove that any W-2,W-2 boolean AND C(1)weak solution for the equilibrium equations is smooth. Moreover, we present an example showing that the assumption u is an element of W-2,W-2 is optimal.

引用

页码：1717 / 1724

页数：8

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