In this paper, we study the existence of entire solutions for the following elliptic system
△mu = p(x) f(v), △l v = q(x) g(u), x ∈ RN,
where 1 < m, l < ∞, f, g are continuous and non-decreasing on [0,∞), satisfy f(t) > 0, g(t) > 0 for all t > 0 and the Keller-Osserman condition. We establish conditions on p and q that are necessary for the existence of positive solutions, bounded and unbounded, of the given equation.
@article{1323,
title = {Existence of Entire Solutions for Quasilinear Elliptic Systems under Keller-Osserman Condition},
journal = {CUBO, A Mathematical Journal},
volume = {15},
year = {2013},
language = {en},
url = {http://dml.mathdoc.fr/item/1323}
}
Zhang, Yuan; Yang, Zuodong. Existence of Entire Solutions for Quasilinear Elliptic Systems under Keller-Osserman Condition. CUBO, A Mathematical Journal, Tome 15 (2013) . http://gdmltest.u-ga.fr/item/1323/