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

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DOI:

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

Abstract

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

                                         â–³mu = p(x) f(v), â–³l 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.

Keywords

quasi-linear elliptic system , sub/super-solution , large solution , existence
  • 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.
  • Pages: 119–130
  • Date Published: 2013-03-01
  • Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal

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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.

Issue

Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal

Section

Articles