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

页码：221 / 230

页数：10

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