| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4611250 | Journal of Differential Equations | 2011 | 21 Pages |
Abstract
We consider the following singularly perturbed Neumann problem−ε2Δu+u−up=0in Ω,u>0in Ω,∂u∂ν=0on ∂Ω, where p is subcritical and Ω is a smooth and bounded domain in RnRn. We construct a new class of solutions which consist of large number of spikes concentrating on an interior straight-line intersecting with ∂Ω orthogonally. Our results show that higher-dimensional concentration can exist without resonance condition.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Weiwei Ao, Monica Musso, Juncheng Wei,