A remark on uniqueness of large solutions for elliptic systems of competitive type |
| |
Authors: | Jorge García-Melián |
| |
Institution: | Departamento de Análisis Matemático, Universidad de La Laguna, C/Astrofísico Francisco Sánchez s/n, 38271 - La Laguna, Spain |
| |
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. |
| |
Keywords: | Elliptic systems Large solutions Uniqueness Iterative argument |
本文献已被 ScienceDirect 等数据库收录! |
|