| 一个非线性椭圆型偏微分方程的正解 |
| |
| 引用本文： | 陈志辉,沈尧天.一个非线性椭圆型偏微分方程的正解[J].华南理工大学学报(自然科学版),2001,29(3):9-12. |
| |
| 作者姓名： | 陈志辉 沈尧天 |
| |
| 作者单位： | 华南理工大学 应用数学系, |
| |
| 基金项目： | 广东省自然科学基金资助项目! (980 5 87) |
| |
| 摘 要： | 研究了一个非线性椭圆型偏微分方程。通过应用山路引理，证明了在较弱的条件下，方程至少存在两个解。事实上，我们减弱了已给文献常用的（AR）条件。
|
| 关 键 词： | 山路引理 弱正解 临界点 非线性椭圆型偏微分方程 强极值原理 Ekeland变分原理 |
| 文章编号： | 1000-565X(2001)03-0009-04 |
Positive Solutions for a Nonlinear EllipticPartial Differential Equation |
| |
| Chen Zhi_hui,Shen Yao_tian.Positive Solutions for a Nonlinear EllipticPartial Differential Equation[J].Journal of South China University of Technology(Natural Science Edition),2001,29(3):9-12. |
| |
| Authors: | Chen Zhi_hui Shen Yao_tian |
| |
| Abstract: | In this paper, nonlinear elliptic partial differential equation is studied. By using the Mountain Pass Theorem, it is proved that the equation has two weak positive solutioins under weaker conditions. In fact, the (AR) condition which is often used in the literature is weakened. |
| |
| Keywords: | Mountain Pass Theorem weak positive solution critical point |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
