| 郭宗明.环形域上超线性边值问题的无穷多径向对称解(英文)[J].数学研究及应用,1998,18(2):191~196 |
| 环形域上超线性边值问题的无穷多径向对称解(英文) |
| Infinitely Many Radially Symmetric Solutions to Superlinear Boundary Value Problems in Annular Domains |
| 投稿时间：1995-05-09 |
| DOI：10.3770/j.issn:1000-341X.1998.02.007 |
| 中文关键词: |
| 英文关键词:boundary value problems radial solutions shooting methods annular domains. |
| 基金项目: |
|
| 摘要点击次数: 2102 |
| 全文下载次数: 1116 |
| 中文摘要: |
| 本文揭示了一类超线性边值问题在环域上有无限多的正对称解，此结果对非线性项的增长性除超线性外无其它限制．本文主要方法是相关常微分方程解的能量分析和相平面分析． |
| 英文摘要: |
| In this paper we show that a class of superlinear boundary value problems in annular domains have infinitely many radially symmetric solutions. The result is obtained without other restrictions on the growth of the nonlinearities. Our methods rely on the energy analysis and the phase plane angle analysis of the solutions for the associated ordinary differential equations. |
| 查看全文 查看/发表评论 下载PDF阅读器 |
