A quasilinear singular elliptic system without cooperative structure

Dumitru Motreanu (1) , Abdelkrim Moussaoui (2)

1 LAMPS - LAboratoire de Modélisation Pluridisciplinaire et Simulations
2 Biology Department

In this article, we investigate the existence of positive solutions of a singular quasilinear elliptic system for which the cooperative structure is not required. The approach is based on the Schauder fixed point theorem combined with perturbation arguments that involve the singular terms.

Domaines: Mathématiques [math]

Dumitru Motreanu, Abdelkrim Moussaoui. A quasilinear singular elliptic system without cooperative structure. Acta Universitatis Szegediensis. Acta Scientiarum Mathematicarum, 2014, 34 (3), pp.905-916. ⟨10.1016/S0252-9602(14)60058-8⟩. ⟨hal-01142974⟩