Existence of multiple solutions for semilinear elliptic equations in the annulus

被引：0
|
作者：
Mao An-min [1 ]
Mo Xiu-ming [2 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
[2] Beijing City Univ, Dept Biotechnol, Beijing 100094, Peoples R China
来源：
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2009年 / 24卷 / 03期
基金：
中国国家自然科学基金;
关键词：
fixed point index; Dirichlet problems; annulus; POSITIVE RADIAL SOLUTIONS; DOMAINS; UNIQUENESS;
D O I：
10.1007/s11766-009-1903-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of radial solutions of Delta u + lambda g(|x|)f(u) = 0 in annuli with Dirichlet (Dirichlet/Neumann) boundary conditions is investigated. It is proved that the problems have at least two positive radial solutions on any annulus if f is superlinear at 0 and sublinear at a.
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页码：263 / 268
页数：6
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