Schrödinger systems with a convection term for the \((p_1,\dots,p_d)\)-Laplacian in \(\mathbb R^N\)
Electronic journal of differential equations, Tome 2012 (2012)
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.
Classification :
35J62, 35J66, 35J92, 58J10, 58J20
Keywords: entire solutions, large solutions, quasilinear systems, radial solutions
Keywords: entire solutions, large solutions, quasilinear systems, radial solutions
@article{EJDE_2012__2012__a79,
author = {Covei, Dragos-Patru},
title = {Schr\"odinger systems with a convection term for the {\((p_1,\dots,p_d)\)-Laplacian} in \(\mathbb {R^N\)}},
journal = {Electronic journal of differential equations},
year = {2012},
volume = {2012},
zbl = {1259.35100},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a79/}
}
TY - JOUR AU - Covei, Dragos-Patru TI - Schrödinger systems with a convection term for the \((p_1,\dots,p_d)\)-Laplacian in \(\mathbb R^N\) JO - Electronic journal of differential equations PY - 2012 VL - 2012 UR - http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a79/ LA - en ID - EJDE_2012__2012__a79 ER -
Covei, Dragos-Patru. Schrödinger systems with a convection term for the \((p_1,\dots,p_d)\)-Laplacian in \(\mathbb R^N\). Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a79/