On generalized quasiconformal mappings

被引：8
|
作者：
Cristea, Mihai [1 ]
机构：
[1] Univ Bucharest, Fac Math & Comp Sci, R-010014 Bucharest, Romania
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2014年 / 59卷 / 02期
关键词：
generalizations of quasiconformal mappings; boundary behavior of Sobolev mappings; FINITE DISTORTION;
D O I：
10.1080/17476933.2012.731398
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study homeomorphisms satisfying some generalized modular inequalities for which we give boundary extension theorems, equicontinuity results and we study the limit mappings of such homeomorphisms. In this way we extend many known facts from the theory of quasiconformal mappings. The main instrument used in this article is the modular method.
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页码：232 / 246
页数：15
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