Positive radial solutions of nonlinear elliptic systems.

Ahammou, Abdelaziz

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The main goal in this paper is to prove the existence of radial positive solutions of the quasilinear elliptic system ⎧ -Δ_pu = f(x,u,v) in Ω, ⎨ -Δ_qv = g(x,u,v) in Ω, ⎩ u = v = 0 on ∂Ω, where Ω is a ball in R^N and f, g are positive continuous functions satisfying f(x, 0, 0) = g(x, 0, 0) = 0 and some growth conditions which correspond, roughly...