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.