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二阶拟线性椭圆型方程组广义解的正则性
引用本文:谢朝东,焦华,王梅.二阶拟线性椭圆型方程组广义解的正则性[J].贵州科学,2003,21(4):20-25.
作者姓名:谢朝东  焦华  王梅
作者单位:1. 贵州民族学院,贵州,贵阳,550025
2. 贵州商业高等专科学校,贵州,贵阳,550004
3. 深圳大学数学系,广东,深圳,518060
摘    要:近年来对临界方程正则性研究正在兴起,其研究方法大多数用选取实验函数的待定方法,及Morse迭代方程证明其正则性。本文应用积分估计的方法,特别对临界项与超临次进行仔细估计,在一定条件下,得到一类二阶拟线性方程组广义解的正则性。

关 键 词:二阶拟线性椭圆型方程组  广义解  正则性  临界方程  积分估计
文章编号:1003-6563(2003)04-0020-06
修稿时间:2002年9月10日

PARTIAL REGULARITY FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS OF SECOND ORDER
XIE Chao-dong,JIAO Hua,WANG Mei .Guizhou Institute for nationalities,Guiyang,Guizhou China, .Guizhou Commercial College,Guiyang,Guizhou ,China.PARTIAL REGULARITY FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS OF SECOND ORDER[J].Guizhou Science,2003,21(4):20-25.
Authors:XIE Chao-dong  JIAO Hua  WANG Mei Guizhou Institute for nationalities  Guiyang  Guizhou China  Guizhou Commercial College  Guiyang  Guizhou  China
Institution:XIE Chao-dong~1,JIAO Hua~2,WANG Mei~3 1.Guizhou Institute for nationalities,Guiyang,Guizhou 550025 China, 2.Guizhou Commercial College,Guiyang,Guizhou 550004,China, 3. Department of Mathematics,University of Shenzhen,Shenzhen,Guangdong 518060,China
Abstract:The study of regularity for limiting exponents equation has been occurring in recent years. Many of methods rely on text function with Moser's iteration scheme. This paper gets regularity results for some class of second order elliptic equation under some conditions, by estimation for limiting party or super limiting party.
Keywords:elliptic equation  limiting exponents  estimate methods  regularity
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