摘要
说明一类拟线性特征值问题有两个正解 ;一个大解 ,一个小解 .同时本文也证明小解是一个山路解当参数大时发展成为尖解 .
It is shown that there are exactly two positive solutions for a class of quasilinear eigenvalue problems; one is a large solution, another one is a small solution. It is also proved that the small solution is a mountain pass solution and it develops to a peak solution when the parameter is large.
出处
《应用泛函分析学报》
CSCD
2000年第3期228-246,共19页
Acta Analysis Functionalis Applicata
基金
Supported by the Youth Founctions of National Education Committee of China and the Committee on Science and Technology of Henan
关键词
特征值问题
大解
小解
尖解
山路解
拟线性常微分方程
多解
eigenvalue problems
large solutions
small solutions
peak solutions
mountain pass solutions
