Global boundedness and Holder continuity of quasiminimizers with the general nonstandard growth conditions

被引：4
|
作者：
Kim, Sungchol [1 ]
Ri, Dukman [1 ]
机构：
[1] Univ Sci, Dept Math, Pyongyang, North Korea
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 185卷
关键词：
Holder continuity; Nonstandard growth; Quasiminima; Variable exponent; REGULARITY; FUNCTIONALS; MINIMIZERS; EQUATIONS; MINIMA;
D O I：
10.1016/j.na.2019.02.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the integral functionals with the general nonstandard growth. We prove the boundedness and Holder continuity of quasiminimizers of these functionals. Our results for quasiminimizers improve variable exponent case and generalize constant exponent case studied in "Direct Methods in the Calculus of Variations, 2003" by Giusti. (C) 2019 Elsevier Ltd. All rights reserved.
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页码：170 / 192
页数：23
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