Existence and nonexistence of radial positive solutions of superlinear elliptic systems.
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 speaking, to...