Existence of entire radically symmetric solutions for a quasilinear system with d-equations

Abstract

The studies developed within this article will be focused on achiev- ing results related to the existence and qualitative properties of en- tire radially symmetric solutions for a Schrodinger problem of type $Delta_pu_i +h_i(r) | nabla u_i mid^{p-1} = a_i (r) f_i (u_i + 1)$ for $i = overline {1,d-1}$ and $Delta_p u_d + h_d (r) mid nabla u_d mid^{p-1} = a_d(r)f_d(u_1)$ on $Bbb{R}^N$, where p > 1, d ≥ 2, $h_i$ and $a_i$ are nonnegative radial continuous functions and $f_i$ are nonnegative increasing continuous functions on $[0,infty)$.