半线性椭圆方程奇异边值问题正解的存在性

重庆交通大学学报（自然科学版） ›› 1998, Vol. 17 ›› Issue (3): 124-130.

半线性椭圆方程奇异边值问题正解的存在性

李建章¹, 黄清龙²

1. 重庆交通学院管理系, 重庆 400074; 2. 兰州大学经济系, 兰州 730000

收稿日期:1997-12-07 修回日期:1998-01-07 出版日期:1998-09-20 发布日期:2016-07-13
作者简介:李建章(1963-), 男, 讲师

The Existence of Positive Solutions for Semilinear Elliptic equation with Singular Boundaiy Value

Li Jianzhang¹, Huang Qinglong²

1. Department of Management, Chongqing Jiaotong Institute, Chongqing 400074, P.R.China; 2. Department of Economics, Lanzhou University, Chongqing 730000, P.R.China

Received:1997-12-07 Revised:1998-01-07 Online:1998-09-20 Published:2016-07-13

摘要/Abstract

摘要： 用上下解方法获得了“超布朗运动” 研究中所需的半线性椭圆方程Δu =cuq (q >1, c >0)在球域内和一般光滑有界区域奇异边值问题(即) 当x →边界点时, u (x) →+∞正解的存在性.

关键词: 半线性椭圆方程, 奇异边值问题, 正解

Abstract: In this paper, by the method of subsolutions and superstutions, the existence of positive solutions for semilinear elliptic equation Δu =uq (q >0) in a ball and Lu =uq (q >0) in the bounded domain with smooth bundary, with singular boundary value (i'eu(Ψ) = +∞), has been obtained.

中图分类号:

O175.8

李建章, 黄清龙. 半线性椭圆方程奇异边值问题正解的存在性[J]. 重庆交通大学学报（自然科学版）, 1998, 17(3): 124-130.

Li Jianzhang, Huang Qinglong. The Existence of Positive Solutions for Semilinear Elliptic equation with Singular Boundaiy Value[J]. Journal of Chongqing Jiaotong University(Natural Science), 1998, 17(3): 124-130.

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