Existence of Entire Solutions for Quasilinear Elliptic Systems under Keller-Osserman Condition
Author
Zhang, Yuan
Yang, Zuodong
Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/132310.4067/S0719-06462013000100008
Abstract
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.