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

页码：651 / 669

页数：19