| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4619658 | Journal of Mathematical Analysis and Applications | 2010 | 11 Pages |
Abstract
We study the multiplicity solutions for the nonlinear elliptic system{−Δu+λu=|u|p−1u+λμvin Ω,−Δv+λv=|v|p−1v+λμuin Ω,u=v=0on ∂Ω, where Ω is an exterior domain in RNRN, N⩾3N⩾3. We will show that under some assumptions, the system has at least 3catΩ¯[Ω¯,RN∖Bρ¯(0)] solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Xiaohui Yu,