拟线性椭圆型方程广义解最大模的先验估计

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

A Priori Estimate for Maximum Modulus of Generalized Solutions of Quasi-Linear Elliptic Equations

摘要: 设G为E^*中的有界区域,考虑方程虽然在,B满足很一般的结构条件时能证明广义解的有界性,但却得不到解的最大模的先验估计式.对其中一种特殊情形,即,B满足如下的结构条件:本文第一次给出有界解的最大模的先验估计.
- 拟线性椭圆型方程 /
- 广义解 /
- 最大模 /
- 先验估计
Abstract: Let G he a hounded domain in E Consider the following quasi-linear elliptic equation Although the houndedness of generalized solutions of the equation is proved for very general structural conditions, it does not supply a priori estimate for maximum modulus of solutions. In this paper an estimate to the maximum modulus is made firstly for a special case of quasi-linear elliptic equations, i.e. the and B satisfy the following structural conditions:
- quasi-linear elliptic equations /
- generalized solutions /
- maximum modulus /
- a priori estimate

[1]	Ладыженская О,А.и Н.Н.Уралъдева,,《线性和拟线性椭圆型方程,,吉林大学数学系译,科学出版社,北京(1987).
[2]	Gilbarg,G,and N,S,Trudinger,《二阶椭圆型偏橄分方程》,上海科学技术出版社(1981).
[3]	梁(汲金)廷,,一类椭圆型方程的广义解,工程数学学报,3,1(1986),19-28.
[4]	朱熹平、杨健夫.临界增长拟线性椭圆型方程的正则性,系统科学与数学.,1(1989),47-62.
[5]	梁奎廷,拟线性椭团型方程广义解的有界性,阴山学刊,1(1989),1-14.
[6]	Miraada,C.,Alcune osservazioni Sulla maggiorazioae in L'delle soluzioai deboli delle equatioai ellittiche del secoado ordiae,Am.Mat,Pura,a Appl.,81,3(1983),161-188.
[7]	于鸣岐、梁(汲金)廷,,二阶椭圆型和抛物型方程广义解最大模的估计.山西大学学报(自然科学版),2(1986),5-18.