The Keller–Osserman-type conditions for the study of a semilinear elliptic system.

We study the following system of equations: 0.1 { Δ u 1 = p 1 (| x |) f 1 (u 1 , u 2) in R N , Δ u 2 = p 2 (| x |) f 2 (u 1 , u 2) in R N. Here f 1 , f 2 are continuous nonlinear functions that satisfy Keller–Osserman-type conditions, and p 1 and p 2 are continuous weight functions. We establish the existence of radial solutions for this system under various boundary conditions. [ABSTRACT FROM AUTHOR]