Displaying similar documents to “Positive radial solutions of nonlinear elliptic systems.”

Existence and nonexistence of radial positive solutions of superlinear elliptic systems.

Abdelaziz Ahammou (2001)

Publicacions Matemàtiques

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