A PRIORI ESTIMATE FOR MAXIMUM MODULUS OF GENERALIZED SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (10): 941-953.

A PRIORI ESTIMATE FOR MAXIMUM MODULUS OF GENERALIZED SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS

梁延¹, 王向东²

1. Zhongshan University, Guangzhou;
2. Xuchang Teachers College, Xuchang, Henan

收稿日期:1989-04-08 出版日期:1990-10-18 发布日期:1990-10-18

A PRIORI ESTIMATE FOR MAXIMUM MODULUS OF GENERALIZED SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS

Liang Xi-ting¹, Wang Xiang-dong²

1. Zhongshan University, Guangzhou;
2. Xuchang Teachers College, Xuchang, Henan

Received:1989-04-08 Online:1990-10-18 Published:1990-10-18

摘要/Abstract

摘要： 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 A and B satisfy the following structural conditions:

关键词: quasi-linear elliptic equations, generalized solutions, maximum modulus, a priori estimate

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 A and B satisfy the following structural conditions:

Key words: quasi-linear elliptic equations, generalized solutions, maximum modulus, a priori estimate

梁延;王向东. A PRIORI ESTIMATE FOR MAXIMUM MODULUS OF GENERALIZED SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(10): 941-953.

Liang Xi-ting;Wang Xiang-dong. A PRIORI ESTIMATE FOR MAXIMUM MODULUS OF GENERALIZED SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(10): 941-953.

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A PRIORI ESTIMATE FOR MAXIMUM MODULUS OF GENERALIZED SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS

A PRIORI ESTIMATE FOR MAXIMUM MODULUS OF GENERALIZED SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS

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