Geodesic
Existence of entire solutions for semilinear elliptic systems under the Keller-Osserman condition
Electronic Journal of Differential Equations, Tome 2011 (2011).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2011},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a89/}
}
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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/