| 环形域上超线性边值问题的无穷多径向对称解 |
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| 引用本文： | 郭宗明.环形域上超线性边值问题的无穷多径向对称解[J].数学研究及应用,1998,18(2):191-196. |
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| 作者姓名： | 郭宗明 |
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| 作者单位： | 河南师范大学数学系 |
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| 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．
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| 关 键 词： | 环形域 超线性边值问题 对称解 常微分方程 |
| 收稿时间： | 5/9/1995 12:00:00 AM |
Infinitely Many Radially Symmetric Solutions to Superlinear Boundary Value Problems in Annular Domains |
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| Guo Zongming.Infinitely Many Radially Symmetric Solutions to Superlinear Boundary Value Problems in Annular Domains[J].Journal of Mathematical Research with Applications,1998,18(2):191-196. |
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| Authors: | Guo Zongming |
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| Institution: | Dept. of Math.; Henan Normal University; Xinxiang 453002 |
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| Abstract: | 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. |
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| Keywords: | boundary value problems radial solutions shooting methods annular domains |
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