Regularity in Orlicz spaces for nondivergence degenerate elliptic equations in carnot groups

被引：3
|
作者：
Niu, Pengcheng [1 ]
Zhu, Maochun [1 ]
机构：
[1] Northwestern Polytech Univ, Key Lab Space Appl Phys & Chem, Dept Appl Math, Minist Educ, Xian 710129, Shaanxi, Peoples R China
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2014年 / 108卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Nondivergence elliptic equation; Orlicz space; V M O; Carnot group; Compactness method; OPERATORS;
D O I：
10.1007/s13398-013-0127-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider nondivergence degenerate elliptic equations of the kind Sigma(q)(i,j=1) a(ij) (xi) X-i X(j)u = f, in Omega where {x(1), ...,X-q} is the basis of the space of horizontal vector fields in a homogeneous Carnot group , the coefficients a(ij) (xi) are real valued bounded measurable functions defined in , satisfying the uniform ellipticity. We establish the regularity in Orlicz spaces for the solutions if the coefficients a(ij) (xi) belong to V M O (loc).
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页码：577 / 601
页数：25
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