Schauder type estimates for degenerate or singular elliptic equations with DMO coefficients

被引：0
|
作者：
Dong, Hongjie [1 ]
Jeon, Seongmin [2 ]
Vita, Stefano [3 ]
机构：
[1] Brown Univ, Div Appl Math, 182 George St, Providence, RI 02912 USA
[2] Hanyang Univ, Dept Math Educ, 222 Wangsimni Ro, Seoul 04763, South Korea
[3] Univ Pavia, Dipartimento Matemat F Casorati, Via Ferrata 5, I-27100 Pavia, Italy
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2024年 / 63卷 / 09期
基金：
芬兰科学院;
关键词：
DIVERGENCE FORM; C-1; REGULARITY; SYSTEMS; RATIOS;
D O I：
10.1007/s00526-024-02840-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study degenerate or singular elliptic equations in divergence form - div ( x (n) (alpha )A D u ) = div ( x (n) (alpha) g ) in B- 1 boolean AND { x( n) > 0} . When alpha > -1, we establish boundary Schauder type estimates under the conormal boundary condition on the flat boundary, provided that the coefficients satisfy Dini mean oscillation (DMO) type conditions. Additionally, as an application, we derive higher-order boundary Harnack principles for uniformly elliptic equations in divergence form with DMO coefficients.
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页数：42
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