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EXISTENCE OF ENTIRE SOLUTIONS FOR SEMILINEAR ELLIPTIC SYSTEMS UNDER THE KELLER-OSSERMAN CONDITION.

Authors :
ZHIJUN ZHANG
YONGXIU SHI
YANXING XUE
Source :
Electronic Journal of Differential Equations. 2011, Vol. 2011, Special section p1-9. 8p.
Publication Year :
2011

Abstract

Under the Keller-Osserman condition on f + g, we show the existence and nonexistence of entire solutions for the semilinear elliptic system Δu = p(x)f(v), Δv = q(x)g(u), x ∈ ℝN, where p, q : ℝN → [0,∞) are continuous functions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15506150
Volume :
2011
Database :
Academic Search Index
Journal :
Electronic Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
83834611