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.
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页码：171 / 187
页数：17
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