Lp-Estimates for quasilinear subelliptic equations with VMO coefficients under the controllable growth

被引：0

作者：

Sun, Bang-Cheng ^{[1
,2
]}

Liu, Zhi-Ming ^{[1
]}

Li, Qiang ^{[1
]}

Zheng, Shen-Zhou ^{[3
]}

机构：

[1] Beijing Jiaotong Univ, Sch Mech Elect & Control Engn, Beijing 100044, Peoples R China

[2] Tangshan Railway Vehicle Co LTD, Tangshan 063035, Peoples R China

[3] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2016年

关键词：

controllable growth; subelliptic equation; L-p-estimate; reverse Holder inequality; bootstrap argument; WEIGHTED POINCARE INEQUALITIES; VECTOR-FIELDS; EMBEDDING-THEOREMS; ELLIPTIC-EQUATIONS; GREEN-FUNCTIONS; CARNOT; OPERATORS; REGULARITY; SYSTEMS; SPACES;

D O I：

10.1186/s13661-016-0658-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove an interior L-p-estimate of X-gradient of weak solutions to a class of quasilinear subelliptic equations with VMO coefficients under controllable growth. Here, we use a reverse Holder inequality and De Giorgi's iteration to establish the boundedness of their weak solutions. Then a local L-p-estimate of the X-gradient of the weak solutions is derived by way of the bootstrap argument.

引用

页数：18

共 45 条

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