Harnack inequality for a class of functionals with non-standard growth via De Giorgi's method

被引：18

作者：

Ok, Jihoon ^{[1
]}

机构：

[1] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2018年 / 7卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Non-standard growth; quasi-minimizer; Holder continuity; Harnack inequality; variable exponent; ELLIPTIC-EQUATIONS; REGULARITY; MINIMIZERS; GRADIENT; CALCULUS; LEBESGUE; SYSTEMS;

D O I：

10.1515/anona-2016-0083

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the regularity theory of quasi-minimizers of functionals with L-p(.) log L-growth. In particular, we prove the Harnack inequality and, in addition, the local boundedness and the Holder continuity of the quasi-minimizers. We directly prove our results via De Giorgi's method.

引用

页码：167 / 182

页数：16