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

[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.

[发布日期] 2003-11-15

[关键词] calculus of variations;direct methods;regularity;nonstandard growth conditions;general growth conditions