Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614307 | Journal of Mathematical Analysis and Applications | 2016 | 17 Pages |
Abstract
The following Dirichlet problem{Δu−u+|u|p−1u=0inΩ,u=0on∂Ω, is considered, where Ω is either an annulus or a ball in RNRN and p>1p>1. The uniqueness of radial solutions having exactly k−1k−1 nodes is shown for the following cases: Ω is a sufficiently thin annulus; Ω is a certain small ball, N≥4N≥4 and 1
1p>1 is sufficiently close to 1 and N=3N=3, 5 or 7.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Satoshi Tanaka,