兰州大学机构库 >数学与统计学院
具有非线性边界条件的椭圆方程的正解
Alternative TitlePositive 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 AbstractIn 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
Identifierhttps://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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