Calderon-Zygmund estimates for ω-minimizers

被引：7
|
作者：
Ok, Jihoon [1 ]
机构：
[1] Kyung Hee Univ, Dept Appl Math, 1732 Deogyeong Daero, Yongin 17104, South Korea
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 263卷 / 05期
基金：
新加坡国家研究基金会;
关键词：
omega-minimizer; Calderon-Zymgund estimate; Quasi-minimiwsr; ELLIPTIC-EQUATIONS; WEAK SOLUTIONS; SINGULAR SET; GRADIENT; MINIMA; REGULARITY; FUNCTIONALS; SYSTEMS;
D O I：
10.1016/j.jde.2017.04.023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider omega-minimizers of functionals with p-growth, and prove higher integrability of the gradient of omega-minimizers by obtaining Calderon-Zygmund type estimates under a sharp condition on omega (center dot). In addition, we deal with similar results for spherical quasi-minimizers. (C) 2017 Elsevier Inc. All rights reserved.
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页码：3090 / 3109
页数：20
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