An existence result for a class of quasilinear singular competitive elliptic systems

Dumitru Motreanu (1) , Abdelkrim Moussaoui (2)

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

In this paper we establish existence and regularity of positive solutions for a singular quasilinear elliptic system with competitive structure. The approach is based on comparison properties, a priori estimates and the Schauder’s fixed point theorem.

Domaines: Mathématiques [math]

Dumitru Motreanu, Abdelkrim Moussaoui. An existence result for a class of quasilinear singular competitive elliptic systems. Applied Mathematics Letters, 2014, 38, pp.33-37. ⟨10.1016/j.aml.2014.06.017⟩. ⟨hal-01142975⟩