Fatou's lemma and lower epi-limits of integral functionals

被引：3

作者：

Giner, Emmanuel ^{[1
]}

机构：

[1] Univ Toulouse 3, Lab MIP, Inst Math, F-31062 Toulouse, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 394卷 / 01期

关键词：

Fatou's lemma; Modulus of equi-integrability; Gamma-limits of integral functionals; LEBESGUE SPACES;

D O I：

10.1016/j.jmaa.2012.04.060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, with the introduction in the sigma-finite case of a modulus of equi-integrability, we prove some new extensions of Fatou's lemma and some of its consequences in the convergence theory of integral functionals. We present the case of a sequence of integral functionals using an analog of loffe's criterion for a sequence of integrands. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：13 / 29

页数：17

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