LOWER ESTIMATES FOR p-MODULI AND SOBOLEV CLASS MAPPINGS

被引：2

作者：

Salimov, R. R. ^{[1
]}

机构：

[1] Natl Acad Sci, Inst Appl Math & Mech, 74 Rosa Luksemburg Str, UA-83114 Donetzk, Ukraine

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2015年 / 26卷 / 06期

关键词：

p-Molude; p-capacity; mappings with finite distortion; finite Lipschitzian property; EXTREMAL LENGTH; COMPOSITION OPERATORS; CAPACITY;

D O I：

10.1090/spmj/1370

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Finite distortion homeomorphisms on the plane are studied with the help of the moduli techniques. On that basis, a problem that dates back to M. A. Lavrent'ev is solved; this problem concerns estimating the area of the image of a disk under the mappings mentioned above. The asymptotic behavior of such mappings at a point is studied. A condition ensuring the finite Lipschitz property is found.

引用

页码：965 / 984

页数：20

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