Existence of Entire Solutions for Quasilinear Elliptic Systems under Keller-Osserman Condition

Yuan Zhang; Zuodong Yang

doi:10.4067/S0719-06462013000100008

Existence of Entire Solutions for Quasilinear Elliptic Systems under Keller-Osserman Condition

Authors

Yuan Zhang Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Jiangsu Nanjing 210023, China.
Zuodong Yang Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Jiangsu Nanjing 210023, China.

DOI:

https://doi.org/10.4067/S0719-06462013000100008

Keywords:

quasi-linear elliptic system, sub/super-solution, large solution, existence

Abstract

In this paper, we study the existence of entire solutions for the following elliptic system

â–³_mu = p(x) f(v), â–³_lv = q(x) g(u), x âˆˆ R^N,

where 1 < m, l < âˆž, f, g are continuous and non-decreasing on [0,âˆž), 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.

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Published

2013-03-01

How to Cite

[1]

Y. Zhang and Z. Yang, “Existence of Entire Solutions for Quasilinear Elliptic Systems under Keller-Osserman Condition”, CUBO, vol. 15, no. 1, pp. 119–130, Mar. 2013.