Electron. J. Diff. Equ., Vol. 2012 (2012), No. 67, pp. 1-13.

Schrödinger systems with a convection term for the $(p_1,\dots ,p_d)$-Laplacian in $\mathbb{R}^N$

Dragos-Patru Covei

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 2, 2012.
Math Subject Classifications: 35J62, 35J66, 35J92, 58J10, 58J20.
Key Words: Entire solutions; large solutions; quasilinear systems; radial solutions.

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Dragos-Patru C. Covei
Department of Development
Constantin Brancusi University from Tg-Jiu
Str. Grivitei, Nr. 1, Tg-Jiu, Romania
email: coveipatru@yahoo.com

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