Full paper in PDF:
$%J. Vélin and F. de Thélin, Existence and nonexistence of nontrivial solutions for some nonlinear elliptic systems, Rev. Mat. Univ. Complut. Madrid 6 (1993), no. 1, 153–194.%$

Existence and Nonexistence of Nontrivial Solutions for Some Nonlinear Elliptic Systems
Jean VÉLIN and François DE THÉLIN
Départment de Mathématiques
Laboratoire d’Analyse Numérique
Université ‘Paul Sabatier’
118, route de Narbonne
31062, Tolouse Cédex — France

Received: February 10, 1992
Revised: July 30, 1992
ABSTRACT

In this paper we give some existence and nonexistence results of non trivial solutions of nonlinear elliptic systems involving the p -Laplacian.

1991 Mathematics Subject Classification: 35J70.