Sobolev Inequality and the Exact Multiplicity of Solutions and Positive Solutions to a Second-Order Neumann Boundary Value Problem

被引：2
作者：
Feng, Yuqiang [1 ,2 ]
机构：
[1] Wuhan Univ Sci & Technol, Sch Sci, Wuhan 430065, Peoples R China
[2] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2010年 / 110卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Neumann boundary value problem; Sobolev inequality; Solution; Exact multiplicity; DIFFERENTIAL-EQUATIONS; PERIODIC-SOLUTIONS; RESONANCE;
D O I：
10.1007/s10440-009-9484-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the exact number of solutions and positive solutions for a second-order Neumann boundary value problem is considered. The exact multiplicity results for this problem are established by Sobolev inequality, comparison theorem, maximum principle and lower and upper solutions method.
引用
收藏
页码：895 / 905
页数：11
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