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.
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页码：251 / 277
页数：27
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