LOWER SEMICONTINUITY IN BV OF QUASICONVEX INTEGRALS WITH SUBQUADRATIC GROWTH

被引：4

作者：

Soneji, Parth ^{[1
]}

机构：

[1] Univ Oxford, Inst Math, Oxford OX1 3LB, England

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2013年 / 19卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

Lower semicontinuity; quasiconvex integrals; functions of bounded variation; MULTIPLE INTEGRALS; RELAXATION; DEFINITION;

D O I：

10.1051/cocv/2012021

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A lower semicontinuity result in BV is obtained for quasiconvex integrals with subquadratic growth. The key steps in this proof involve obtaining boundedness properties for an extension operator, and a precise blow-up technique that uses fine properties of Sobolev maps. A similar result is obtained by Kristensen in [Calc. Var. Partial Differ. Equ. 7 (1998) 249-261], where there are weaker asssumptions on convergence but the integral needs to satisfy a stronger growth condition.

引用

页码：555 / 573

页数：19

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