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

页码：593 / 608

页数：16

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