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.
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页数：18
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