Regularity for minimizers of functionals with variable growth and discontinuous coefficients

被引：0

作者：

Zhang, Xia ^{[1
]}

Huo, Yan ^{[2
]}

Fu, Yongqiang ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

[2] Harbin Engn Univ, Coll Aerosp & Civil Engn, Harbin 150001, Peoples R China

来源：

ANNALES POLONICI MATHEMATICI | 2014年 / 110卷 / 02期

关键词：

variable exponent Sobolev space; local minimizer; Holder continuity; EXISTENCE; EQUATIONS; SPACES;

D O I：

10.4064/ap110-2-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on the theory of variable exponent spaces, we study the regularity of local minimizers for a class of functionals with variable growth and discontinuous coefficients. Under suitable assumptions, we obtain local Holder continuity of minimizers.

引用

页码：171 / 187

页数：17

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