Regularity theory for the uniformly elliptic operators in Orlicz spaces

被引：3
|
作者：
Yao, Fengping [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 12期
基金：
高等学校博士学科点专项科研基金;
关键词：
Uniformly elliptic operator; Schrodinger operator; Regularity; Orlicz spaces; SCHRODINGER-OPERATORS; EQUATIONS;
D O I：
10.1016/j.camwa.2010.10.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the regularity theory in Orlicz spaces for the uniformly elliptic operators L = -Sigma(n)(i,j=1) partial derivative(i)(a(ij)(x)partial derivative(j))+V(x) with non-negative potentials V(x) on R(n) (n >= 3) which belongs to a certain reverse Holder class. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：3098 / 3104
页数：7
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