李永祥.球外部区域上非线性椭圆型方程的正径向解[J].数学研究及应用,2005,25(1):128~133 |
球外部区域上非线性椭圆型方程的正径向解 |
Positive Radial Solutions of Nonlinear Elliptic Equations in Exterior Domains of Ball |
投稿时间:2002-07-19 |
DOI:10.3770/j.issn:1000-341X.2005.01.018 |
中文关键词: 椭圆边值问题 球外部区域 正径向解 闭凸锥 |
英文关键词:elliptic boundary value problem exterior domain of ball positive radial solution closed convex cone |
基金项目:数学天元基金(10226029),甘肃省自然科学基金(ZS031-A25-003-Z). |
|
摘要点击次数: 3794 |
全文下载次数: 1278 |
中文摘要: |
本文讨论球外部区域Ω={x∈RN||x|>R}上非线性椭圆边值问题-Δ u=g(|x|)f(u),αu+β(?u)/(?n)|?Ω=0,u(∞)=0
正径向解的存在性,其中g(r),f(u)为非负连续函数.在g(r)满足条件0<∫R∞rg(r)dr<∞,f(u)关于u超线性或次线性增长的情形,获得了该问题正径向解的存在性. |
英文摘要: |
This paper discusses the existence of positive radial solutions for nonlinear elliptic boundary value problem in exterior domain Ω= {x ∈ RN|||x||> R}:-Δ u=g(|x|)f(u),αu+β(?u)/(?n)|?Ω=0,u(∞)=0 where g(r) and f(u) are nonnegative continuous functions. The existence of positive radial solution is obtained under the conditions that 0 <∫R∞rg(r)dr≤∞ and f(u) is either superlinear or sublinear. |
查看全文 查看/发表评论 下载PDF阅读器 |