A C1,α partial regularity result for integral functionals with p(x)-growth condition

被引：7
作者：
Giannetti, Flavia [1 ]
机构：
[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Via Cintia, I-80126 Naples, Italy
来源：
ADVANCES IN CALCULUS OF VARIATIONS | 2016年 / 9卷 / 04期
关键词：
Variational integrals; partial regularity; variable exponent spaces; HOLDER CONTINUITY; MINIMIZERS; SPACES; MINIMA;
D O I：
10.1515/acv-2015-0011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish C-1,C-alpha partial regularity for the local minimizers of integral functionals of the type F(u; Omega) := integral(Omega) (1 + vertical bar Du vertical bar(2))(p(x)/2) dx, where the gradient of the exponent function p(.) >= 2 belongs to a suitable Orlicz-Zygmund class.
引用
收藏
页码：395 / 407
页数：13
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