Nonlinear obstacle problems with double phase in the borderline case

被引：4
作者：
Byun, Sun-Sig [1 ,2 ]
Cho, Yumi [1 ]
Oh, Jehan [3 ]
机构：
[1] Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
[2] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea
[3] Kyungpook Natl Univ, Dept Math, Daegu 41566, South Korea
来源：
MATHEMATISCHE NACHRICHTEN | 2020年 / 293卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
BMO coefficient; Calderon-Zygmund estimate; double phase problem; obstacle problem; Reifenberg flat domain; ELLIPTIC-EQUATIONS; REGULARITY; GRADIENT; MINIMIZERS; FUNCTIONALS; INTEGRALS; EXISTENCE; CALCULUS; THEOREM; SPACES;
D O I：
10.1002/mana.201800277
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study a double phase problem with an irregular obstacle. The energy functional under consideration is characterized by the fact that both ellipticity and growth switch between a type of polynomial and a type of logarithm, which can be regarded as a borderline case of the double phase functional with (p,q)-growth. We obtain an optimal global Calderon-Zygmund type estimate for the obstacle problem with double phase in the borderline case.
引用
收藏
页码：651 / 669
页数：19
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