Eliminability results for mappings satisfying generalized modular inequalities

被引：10

作者：

Cristea, Mihai ^{[1
]}

机构：

[1] Univ Bucharest, Fac Math & Comp Sci, Bucharest, Romania

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2019年 / 64卷 / 04期

关键词：

M; Ruzhansky; Generalizations of quasiregular mappings; applications to Sobolev mappings; DISCRETE OPEN MAPPINGS; FINITE DISTORTION; HOMEOMORPHISMS; SINGULARITIES;

D O I：

10.1080/17476933.2018.1477768

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove eliminability results for some open, discrete mappings f: D \ E -> (R-n) over bar such that M-q(f(Gamma)) <= gamma(M-omega(p)(Gamma)) for every Gamma is an element of A(D \ E) in the case n-1 < q < n and for sets E subset of D such that M-omega(p)(E) = 0. For such mappings there always exists lim(y -> x) (y is an element of D\E) f(y) is an element of R-n for every x is an element of E. We also prove Zoric's type results in the case n-1 < q < n.

引用

页码：676 / 684

页数：9

共 29 条

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