Multiple solutions for singularly perturbed semilinear elliptic equations in bounded domains

We are concerned with the multiplicity of solutions of the following singularly perturbed semilinear elliptic equations in bounded domains Ω:−ε2Δu+a(⋅)u=u|u|p−2 in Ω, u>0 in Ω, u=0 on ∂Ω. The main purpose of this paper is to discuss the relationship between the multiplicity of solutions and the...

Full description

Bibliographic Details
Main Author: Michinori Ishiwata
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA.2005.185