Lower semicontinuity of mappings with bounded (θ, 1)-weighted (p, q)-distortion

被引：5

作者：

Vodop'yanov, S. K. ^{[1
]}

Molchanova, A. O. ^{[1
]}

机构：

[1] Novosibirsk State Univ, Sobolev Inst Math, Novosibirsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2016年 / 57卷 / 05期

基金：

俄罗斯基础研究基金会;

关键词：

bounded; (theta; 1)-weighted; (p; q)-distortion; lower semicontinuity; finite distortion; NONLINEAR ELASTICITY; FINITE DISTORTION; SOBOLEV CLASSES; REGULARITY;

D O I：

10.1134/S0037446616050062

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that, under some extra conditions, the locally uniform limit of mappings with bounded (theta, 1)-weighted (p, q)-distortion is a mapping of bounded (theta, 1)-weighted (p, q)-distortion too. Moreover, we obtain the lower semicontinuity of the distortion coefficients.

引用

页码：778 / 787

页数：10

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