Paper Info
Title
A necessary and sufficient condition for the existence of large solutions to 'mixed' type elliptic systems.
Abstract
In this paper, we substantially solve an open problem proposed by Alan Lair for the system of the form Δu=p(|x|)vα and Δv=q(|x|)uβ,(x∈Rn(n⩾3)) in the sense that, we find more general conditions on f,g in order to obtain an analog existence result as for the particular case f(s)=sα and g(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].
Year
DOI
Venue
2012
10.1016/j.aml.2012.07.002
Applied Mathematics Letters
Keywords
Field
DocType
Necessary and sufficient condition,Elliptic system,Large solution,Entire solution
Elliptic systems,Sublinear function,Mathematical optimization,Open problem,Of the form,Mathematical analysis,Mathematics
Journal
Volume
Issue
ISSN
25
12
0893-9659
Citations 
PageRank 
References 
4
1.01
2
Authors
1
Name
Order
Citations
PageRank
Xinguang Zhang116323.65