Geodesic
Existence of entire solutions for semilinear elliptic systems under the Keller-Osserman condition
Electronic journal of differential equations, Tome 2011 (2011)
Under the Keller-Osserman condition on $f+g$, we show the existence and nonexistence of entire solutions for the semilinear elliptic system $\Delta u =p(x)f(v), \quad \Delta v =q(x)g(u),\quad x\in \mathbb{R}^N$, where $p,q:\mathbb{R}^N\to [0,\infty)$ are continuous functions.
Classification : 35J55, 35J60, 35J65
Keywords: semilinear elliptic systems, entire solutions, existence 
@article{EJDE_2011__2011__a89,
     author = {Zhang,  Zhijun and Shi,  Yongxiu and Xue,  Yanxing},
     title = {Existence of entire solutions for semilinear elliptic systems under the {Keller-Osserman} condition},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1213.35203},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a89/}
}
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%A Xue,  Yanxing
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%J Electronic journal of differential equations
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%G en
%F EJDE_2011__2011__a89
Zhang,  Zhijun; Shi,  Yongxiu; Xue,  Yanxing. Existence of entire solutions for semilinear elliptic systems under the Keller-Osserman condition. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a89/