Invertibility and a topological property of sobolev maps

被引：0

作者：

Muller, S

Spector, SJ

Tang, Q

机构：

[1] SO ILLINOIS UNIV,DEPT MATH,CARBONDALE,IL 62901

[2] UNIV SUSSEX,DEPT MATH,BRIGHTON BN1 9QH,E SUSSEX,ENGLAND

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1996年 / 27卷 / 04期

关键词：

Sobolev spaces; elasticity; cavitation; singular minimizers; injectivity almost everywhere;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Omega be a bounded domain in R(n), let d : <(Omega)over bar> --> <(Omega)over bar> be a homeomorphism, and consider a function u : <(Omega)over bar> --> R(n) that agrees with d on partial derivative Omega. if u is continuous and injective then u(Omega) = d(Omega). Motivated by problems in nonlinear elasticity the relationship between u(Omega) and d(Omega) when the continuity and invertibility assumptions are weakened. Specifically maps that are continuous on almost every line and maps that lie in the Sobolev space W-1,W-p with n - 1 < p < n are considered.

引用

页码：959 / 976

页数：18

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