Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709489 | Applied Mathematics Letters | 2011 | 7 Pages |
Abstract
In this work we consider the nonexistence of a positive entire solution for the quasilinear elliptic system equation(0.1)Δpu=f(x)vα,Δqv=g(x)uβ,x∈RN where p,q>1p,q>1 and α>q−1,β>p−1α>q−1,β>p−1. We study the effect of the asymptotic behavior of f(x),g(x)f(x),g(x) and solutions at infinity on the nonexistence of a positive solution for Problem (0.1). Some sufficient conditions for nonexistence are obtained.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Caisheng Chen, Lanfang Shi, Shenglan Zhu,