| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4622983 | Journal of Mathematical Analysis and Applications | 2007 | 9 Pages |
Abstract
We prove that the semilinear system Δu=a(x)upvq, Δv=b(x)urvs in a smooth bounded domain Ω⊂RN has a unique positive solution with the boundary condition u=v=+∞ on ∂Ω, provided that p,s>1, q,r>0 and (p−1)(s−1)−qr>0. The main novelty is imposing a growth on the possibly singular weights a(x), b(x) near ∂Ω, rather than requiring them to have a precise asymptotic behavior.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
