Bounds for vector valued minimizers of some relaxed functionals

被引：7
作者：
Leonetti, Francesco [1 ]
Petricca, Pier Vincenzo [1 ]
机构：
[1] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67100 Laquila, Italy
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2013年 / 58卷 / 02期
关键词：
calculus of variations; minimizers; bounds; relaxation; 49N60; 35J60; 35J45; LOWER SEMICONTINUITY; MULTIPLE INTEGRALS;
D O I：
10.1080/17476933.2011.575460
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove pointwise bounds for minimizers of some relaxed functionals A model for F(u) is given by where u?:?O???R n ???R n and h?:?R???[0,?+8) is convex with 2?=?p?<?n.
引用
收藏
页码：221 / 230
页数：10
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