COMPARISON RESULTS FOR SOME TYPES OF RELAXATION OF VARIATIONAL INTEGRAL FUNCTIONALS

被引：12
|
作者：
ESPOSITO, AC
DE ARCANGELIS, R
机构：
[1] UNIV CASSINO, DIPARTIMENTO INGN IND, I-03043 CASSINO, ITALY
[2] UNIV NAPOLI, DIPARTIMENTO MATEMAT & APPLICAZIONI, I-80126 NAPLES, ITALY
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 1993年 / 164卷
关键词：
D O I：
10.1007/BF01759320
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A comparison between some relaxation methods of an integral functional is carried out. The following relaxed functionals of the variational integral [GRAPHICS] are introduced. It is proved, by means of examples, that in general such functionals are different even if OMEGA is a regular bounded open set and criteria for identity on the whole L1(OMEGA) are proved. If f does not depend on x it is proved that I and IBAR agree if OMEGA has Lipschitz boundary and an integral representation formula for their common values on BV(OMEGA) is proved. Similar results and comparison ones with I and IBAR are proved also for other kinds of relaxed functionals of I.
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页码：155 / 193
页数：39
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