| 具有非线性边界条件的椭圆方程的正解 | |
| Alternative Title | Positive Solutions of Elliptic Equations with Nonlinear Boundary Conditions |
| 宋修朝 | |
| Thesis Advisor | 赵培浩 |
| 2005-05-25 | |
| Degree Grantor | 兰州大学 |
| Place of Conferral | 兰州 |
| Degree Name | 硕士 |
| Keyword | 非线性边界条件 上、下解 山路引理 弱下半连续性 强制性 |
| Abstract | 本文考虑了n维欧氏空间中的有界光滑区域上具有非线性边界条件的椭圆方程正解的存在性问题. 我们使用由山路引理找到的一个上解结合上、下解方法得出了问题正解的存在性. 同时, 我们也考虑了正解的不存在性. |
| Other Abstract | In this paper we consider the existence of positive solution of a nonlinear elliptic equation with nonlinear boundary condition in a smooth bounded domain in Rn. We obtain the existence of positive solution by using sub、super-solution method combining a supersolution which comes from the Mountain Pass Lemma. And nonexistence is also considered. |
| URL | 查看原文 |
| Language | 中文 |
| Document Type | 学位论文 |
| Identifier | https://ir.lzu.edu.cn/handle/262010/224975 |
| Collection | 数学与统计学院 |
| Recommended Citation GB/T 7714 | 宋修朝. 具有非线性边界条件的椭圆方程的正解[D]. 兰州. 兰州大学,2005. |
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