Calderon-Zygmund estimates for generalized double phase problems

被引：28
|
作者：
Baasandorj, Sumiya [1 ]
Byun, Sun-Sig [1 ,2 ]
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：
JOURNAL OF FUNCTIONAL ANALYSIS | 2020年 / 279卷 / 07期
关键词：
Calderon-Zygmund theory; Double phase problem; Gradient estimates; Non-standard growth; ORLICZ SPACES; ELLIPTIC-EQUATIONS; NONSTANDARD GROWTH; REGULARITY THEORY; MINIMIZERS; GRADIENT; FUNCTIONALS; INTEGRALS; CALCULUS; SYSTEMS;
D O I：
10.1016/j.jfa.2020.108670
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove Calderon-Zygmund type estimates for distributional solutions to non-uniformly elliptic equations of generalized double phase type in divergence form. In particular, we provide sharp conditions on the nonlinear operators to establish the Calderon-Zygmund type estimates. (C) 2020 Elsevier Inc. All rights reserved.
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页数：57
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