MORREY ESTIMATES FOR SUBELLIPTIC p-LAPLACE TYPE SYSTEMS WITH VMO COEFFICIENTS IN CARNOT GROUPS

被引：0
|
作者：
Yu, Haiyan [1 ,2 ]
Zheng, Shenzhou [1 ]
机构：
[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年
关键词：
Subelliptic p-Laplace; VMO coefficients; controllable growth; Morrey regularity; Carnot group; HARMONIC FUNCTIONS; REGULARITY; EQUATIONS; GROWTH;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study estimates in Morrey spaces to the horizontal gradient of weak solutions for a class of quasilinear sub-elliptic systems of p-Laplace type with VMO coefficients under the controllable growth over Carnot group if p is not too far from 2. We also show a local Holder continuity with an optimal exponent to the solutions.
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页数：14
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