Existence of Entire Solutions for Quasilinear Elliptic Systems under Keller-Osserman Condition
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Yuan Zhang
zdyang_jin@263.net
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Zuodong Yang
zdyang_jin@263.net
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DOI:
https://doi.org/10.4067/S0719-06462013000100008Abstract
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.
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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.
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