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| 拟线性椭圆型方程广义解的最大原理 | |
| 引用本文： | 王向东 徐小增 等. 拟线性椭圆型方程广义解的最大原理[J]. 应用数学和力学, 2003, 24(4): 405-413 |
| 作者姓名： | 王向东 徐小增 等 |
| 作者单位： | 佛山科学技术学院理学院，广东佛山528000 |
| 摘 要： | 在允许自由项关于解梯度的增长阶满足自然增长条件时，证明了拟线性椭圆型方程不恒等于常数的有界广义解成立解的最大值原理。 |
| 关 键 词： | 拟线性椭圆型方程 广义解 最大值原理 |
| 文章编号： | 1000-0887(2003)04-0405-09 |
| 修稿时间： | 2000-12-18 |
Maximum Principles for Greneralized Solutions of Quasi-Linear Elliptic Equations |
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| WANG Xiang-dong,XU Xiao-zeng,HANG Xi-ting. Maximum Principles for Greneralized Solutions of Quasi-Linear Elliptic Equations[J]. Applied Mathematics and Mechanics, 2003, 24(4): 405-413 | |
| Authors: | WANG Xiang-dong XU Xiao-zeng HANG Xi-ting |
| Abstract: | Under the assumption that the growth order of the free term to satisfy the natural growth condition with respect to gradient of the generalized solutions, the maximum principle is proved for the bounded generalized solution of quasi-linear elliptic equations. |
| Keywords: | quasi-linear elliptic equation generalized solution maxnnum principle |
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