中文核心期刊
CSCD来源期刊
中国科技核心期刊
RCCSE中国核心学术期刊

Journal of Chongqing Jiaotong University(Natural Science) ›› 1998, Vol. 17 ›› Issue (3): 124-130.

Previous Articles     Next Articles

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

Li Jianzhang1, Huang Qinglong2   

  1. 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

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. 1. 重庆交通学院管理系, 重庆 400074; 2. 兰州大学 经济系, 兰州 730000
  • 作者简介:李建章(1963-), 男, 讲师

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.

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

CLC Number: