On positive entire solutions of a class of second order semilinear elliptic systems

1984 ◽  
Vol 186 (3) ◽  
pp. 287-297 ◽  
Author(s):  
Nichiro Kawano ◽  
Taka?i Kusano
Keyword(s):  
Elliptic Systems ◽  
Second Order ◽  
Entire Solutions ◽  
Semilinear Elliptic Systems ◽  
Semilinear Elliptic

scholarly journals Entire solutions blowing up at infinity for semilinear elliptic systems

2002 ◽  
Vol 81 (9) ◽  
pp. 827-846 ◽  
Author(s):  
Florica-Corina Şt. Cîrstea ◽  
Vicenţiu D. Rădulescu
Keyword(s):  
Elliptic Systems ◽  
Entire Solutions ◽  
Semilinear Elliptic Systems ◽  
Semilinear Elliptic ◽  
Blowing Up

Existence of positive entire solutions for weakly coupled semilinear elliptic systems

1992 ◽  
Vol 120 (1-2) ◽  
pp. 79-91 ◽  
Author(s):  
Yasuhiro Furusho
Keyword(s):  
Sufficient Conditions ◽  
Elliptic Systems ◽  
Real Constant ◽  
Entire Solutions ◽  
Semilinear Elliptic Systems ◽  
Semilinear Elliptic ◽  
Weakly Coupled ◽  
Non Linear ◽  
Image Position

SynopsisWeakly coupled semilinear elliptic systems of the formare considered in RN, N≧2, where k = 1, 2, …, M, u = (u1, …, uM) and λ is a real constant. The aim of this paper is to give sufficient conditions for (*) to have entire solutions whose components are positive in RN and converge to non-negative constants as |x| tends to ∞. For this purpose a new supersolution-subsolution method is developed for the system (*) without any hypotheses on the monotonicity of the non-linear terms fk with respect to u.

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