Everywhere regularity for a class of vectorial functionals under subquadratic general growth conditions

被引：15
|
作者：
Leonetti, F
Mascolo, E
Siepe, F
机构：
[1] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy
[2] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67100 Laquila, Italy
[3] Univ Florence, Dipartimento Matemat & Appl Architettura, I-50122 Florence, Italy
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 287卷 / 02期
关键词：
calculus of variations; direct methods; regularity; nonstandard growth conditions; general growth conditions;
D O I：
10.1016/S0022-247X(03)00584-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the integral functional of the calculus of variations integral f (Du) dx, Omega where f : R-nN --> R satisfies f(z) = g(\z\) and g is an N-function with subquadratic p-q growth. We prove that minimizers u: Omega subset of R-n --> R-N of such a functional are locally Lipschitz continuous, provided g verifies some additional conditions. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：593 / 608
页数：16
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