TITLE

Singular Radial Positive Solutions for Nonlinear Elliptic Systems

AUTHOR(S)
Ahammou, Abdelaziz; Iskafi, Khalid
PUB. DATE
June 2009
SOURCE
Advances in Dynamical Systems & Applications;2009, Vol. 4 Issue 1, p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper we study the existence and nonexistence of positive singular radial solutions of the Dirichlet p-Laplacian system {Δpu + f(x, u, v) = 0 in Ω Δqv - g(x, u, v) = 0 in Ω u = v = 0 on ∂Ω where N > max(p, q), p, q > 1, as well as the solution's behavior near zero. Here, Ω is the unit ball of ℝN except for the center zero, and f, g are nonnegative continuous functions. We use Leray-Schauder's theorem and a method of monotone iterations to prove existence, and we will be concerned with the study of the asymptotic behavior of solutions. Also, we will present some sufficient conditions for nonexistence of positive solutions.
ACCESSION #
52768267

 

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