Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1708628 | Applied Mathematics Letters | 2012 | 6 Pages |
Abstract
In this paper, we substantially solve an open problem proposed by Alan Lair for the system of the form Δu=p(|x|)vαΔu=p(|x|)vα and Δv=q(|x|)uβ,(x∈Rn(n⩾3))Δv=q(|x|)uβ,(x∈Rn(n⩾3)) in the sense that, we find more general conditions on f,gf,g in order to obtain an analog existence result as for the particular case f(s)=sαf(s)=sα and g(s)=sβg(s)=sβ treated in [A. Lair, A necessary and sufficient condition for the existence of large solutions to sublinear elliptic systems, J. Math. Anal. Appl. 365 (2010) 103–108].
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Xinguang Zhang,