OPTIMAL PARTIAL REGULARITY FOR NONLINEAR SUB-ELLIPTIC SYSTEMS RELATED TO HORMANDER'S VECTOR FIELDS

被引：2

作者：

Wang, Jialin ^{[1
,2
]}

Liao, Dongni ^{[2
]}

机构：

[1] Gannan Normal Univ, Key Lab Numer Simulat Technol Jiangxi Prov, Ganzhou 341000, Jiangxi, Peoples R China

[2] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China

来源：

KYUSHU JOURNAL OF MATHEMATICS | 2011年 / 65卷 / 02期

关键词：

A-harmonic approximation technique; partial regularity; nonlinear sub-elliptic systems; Hormander's vector fields; super-quadratic natural growth condition; INTERIOR PARTIAL REGULARITY; A-HARMONIC APPROXIMATION; QUASI-LINEAR EQUATIONS; HEISENBERG-GROUP; SUBELLIPTIC EQUATIONS; GROWTH CONDITION; P-LAPLACIAN; OPERATORS; INEQUALITY; SPACES;

D O I：

10.2206/kyushujm.65.251

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with partial regularity for weak solutions to nonlinear sub-elliptic systems related to Hormander's vector fields. The method of A-harmonic approximation introduced by Simon and developed by Duzaar and Grotowski is adapted to our context, and then a Caccioppoli-type inequality and partial regularity with optimal local Holder exponent for gradients of weak solutions to the systems under super-quadratic natural growth conditions is established.

引用

页码：251 / 277

页数：27

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