| 引用本文: | 谢永安.一类二阶椭圆型边值问题正解的唯一性.[J].国防科技大学学报,1989,11(2):19-23.[点击复制] |
| Xie Yongan.Unipueness of a Positive Solution to a Class of Second Order Elliptic Boundary Value Problems[J].Journal of National University of Defense Technology,1989,11(2):19-23[点击复制] |
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| 一类二阶椭圆型边值问题正解的唯一性 |
| 谢永安 |
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(系统工程与应用数学系)
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| 摘要: |
| 文中讨论了一类二阶椭圆型边值问题正解的唯一性。削弱了文献[1]中主要定理的条件，并将其推广到一般光滑区域，所用方法主要是对格林函数的精细估计。 |
| 关键词: 偏微分方程，椭圆型，边值问题，格林函数 |
| DOI： |
| 投稿日期：1988-01-11 |
| 基金项目: |
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| Unipueness of a Positive Solution to a Class of Second Order Elliptic Boundary Value Problems |
| Xie Yongan |
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(Department of Applied Mathematics and System Engineering)
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| Abstract: |
| In this paper，the uniqueness of a positive solution to a class of second order elliptic boundary value problems is disscussed，a conjecture presented in [1] for the case n≥3 is proved. The result of [1] is improved as well. |
| Keywords: partial deffirential equation,elliptic,boundary value problem,Green function |
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