The Existence of Solutions of Elliptic Equations with Neumann Boundary Condition for Superlinear Problems

被引：0

作者：

Chong LI ^{[1
]}

机构：

[1] Institute of Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences

来源：

Acta Mathematica Sinica,English Series | 2004年 / 20卷 / 06期

关键词：

Critical point theory; Order intervals; Decreasing flow;

D O I：

暂无

中图分类号：

O175.25 [椭圆型方程];

学科分类号：

070104 ;

摘要：

In this paper,we study and discuss the existence of multiple solutions of a class of non-linearelliptic equations with Neumann boundary condition,and obtain at least seven non-trivial solutionsin which two are positive,two are negative and three are sign-changing.The study of problem(1.1):(-△u+αu=f(u),x∈Ω,(?)/(?)=0),is based on the variational methods and critical point theory.Weform our conclusion by using the sub-sup solution method,Mountain Pass Theorem in order intervals,Leray-Schauder degree theory and the invariance of decreasing flow.

引用

页码：965 / 976

页数：12

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