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.

引用

页数：14

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