Quasilinear and singular elliptic systems

Jacques Giacomoni (1) , Jesús Hernández (2) , Paul Sauvy (3)

1 Analyse des EDPs et Optimisation
2 Departamento de Matemáticas [Madrid]
3 LMAP - Laboratoire de Mathématiques appliquées de Pau

In this paper, we investigate a general quasilinear elliptic and singular system. By monotonicity methods, we give some existence and uniqueness results. Next, we give some applications to biological models.

Mots clés: "Quasilinear singular elliptic systems"; "weak comparison principle"; "sub and super solutions"; "cone condition"; "Schauder fixed point Theorem".; Quasilinear singular elliptic systems; weak comparison principle; sub and super solutions; cone condition; Schauder fixed point Theorem

Domaines: Equations aux dérivées partielles [math.AP]

Jacques Giacomoni, Jesús Hernández, Paul Sauvy. Quasilinear and singular elliptic systems. Advances in Nonlinear Analysis, 2012, 2 (1), pp.1-42. ⟨hal-00793430⟩