Sharpness of the differentiability almost everywhere and capacitary estimates for Sobolev mappings

被引：1

作者：

Hencl, Stanislav ^{[1
]}

Tengvall, Ville ^{[2
]}

机构：

[1] Charles Univ Prague, Dept Math Anal, Sokolovska 83, Prague 18600 8, Czech Republic

[2] Univ Jyvaskyla, Dept Math & Stat, POB 35 MaD, Jyvaskyla 40014, Finland

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2017年 / 33卷 / 02期

关键词：

Mapping of finite distortion; differentiability; capacity; EXTREMAL LENGTH;

D O I：

10.4171/RMI/951

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give sharp conformal conditions for the differentiability in the Sobolev space W-loc(1,n-1) (Omega, R-n). Furthermore, we show that the space W-loc(1,n-1) (Omega, R-n) can be considered as the borderline space for some capacitary inequalities.

引用

页码：595 / 622

页数：28

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