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

页码：27 / 42

页数：16

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