EXISTENCE OF ENTIRE RADIALLY SYMMETRIC SOLUTIONS FOR A QUASILINEAR SYSTEM WITH d-EQUATIONS

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 Δp ui + hi (r) |Δui|^p−1 = ai (r) fi (ui+1) for i = 1, d − 1 bar and Δpud + hd (r) |Δud|^p−1 = ad (r) fd (u1) on R^N, where p 1, d ≥ 2, hi and ai are nonnegative radial continuous functions and fi are nonnegative increasing continuous functions on [0,∞).