Lower semicontinuity of certain quasiconvex functionals in Orlicz-Sobolev spaces

被引：6
|
作者：
Verde, Anna [1 ]
Zecca, Gabriella [1 ]
机构：
[1] Univ Naples Federico 2, Dip Mat & Applic R Caccioppoli, I-80126 Naples, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 10期
关键词：
Quasiconvex; Orlicz-Sobolev; POLYCONVEX INTEGRALS; MULTIPLE INTEGRALS; GROWTH EXPONENT;
D O I：
10.1016/j.na.2009.03.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let u : Omega subset of R-n -> R-N be any vector valued function. We prove a semicontinuity result in the weak* topology of Orlicz-Sobolev spaces of the functional F(u, Omega) = integral(Omega) f(Du(x))dx, where f is a quasiconvex function satisfying non-standard growth conditions. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：4515 / 4524
页数：10
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