Holder continuity for nonlinear sub-elliptic systems with sub-quadratic growth

被引：0
|
作者：
Wang, Jialin [1 ]
Liao, Dongni [1 ]
Guo, Zhenhua [1 ]
Yu, Zefeng [1 ]
Wu, Shimin [2 ]
机构：
[1] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China
[2] Gannan Normal Univ, Sch Phys & Elect Informat Technol, Ganzhou 341000, Jiangxi, Peoples R China
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2015年 / 109卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Partial regularity; Nonlinear sub-elliptic systems; Hormander's vector fields; Sub-quadratic natural growth condition; A-harmonic approximation technique; INTERIOR PARTIAL REGULARITY; QUASI-LINEAR EQUATIONS; MINIMIZERS; INTEGRALS; OPERATORS;
D O I：
10.1007/s13398-014-0162-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with partial regularity of weak solutions to nonlinear sub-elliptic systems under sub-quadratic natural growth conditions. We begin with establishing a Sobolev-Poincare type inequality associated with Hormander's vector fields for u is an element of HW1-m (Omega, R-N) with 1 < m < 2. Then A-harmonic approximation method is applied, and partial Holder continuity with optimal local Holder exponent for gradients of weak solutions to the systems is established.
引用
收藏
页码：27 / 42
页数：16
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