Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 67, pp. 1-13.

Title: Schrodinger systems with a convection term for the
       $(p_1,..,p_d)$-Laplacian in $R^N$

Author: Dragos-Patru Covei (Constantin Brancusi Univ., Tg-Jiu, Romania)

Abstract:
 The main goal is to study  nonlinear Schrodinger type
 problems for the $(p_1,\dots ,p_d)$-Laplacian  with
 nonlinearities satisfying Keller- Osserman conditions.
 We establish the existence of infinitely many positive entire radial
 solutions by an application of a fixed point theorem and the
 Arzela-Ascoli theorem. An important aspect in this article is that
 the solutions are obtained by successive approximations and hence
 the proof can be implemented in a computer program.

Submitted March 12, 2012. Published May 02, 2012.
Math Subject Classifications: 35J62, 35J66, 35J92, 58J10, 58J20.
Key Words: Entire solutions; large solutions; quasilinear systems;
           radial solutions.