Comparison principle and Liouville type results for singular fully nonlinear operators.

Isabeau Birindelli (1) , Françoise Demengel (2)

1 Sapienza University of Rome - Dipartimento di Matematica "Guido Castelnuovo" [Roma I]
2 AGM - UMR 8088 - Analyse, Géométrie et Modélisation

We prove a comparison principle and a good definition of viscosity solutions for Fully nonlinear equations singular or degernerate modeled on the p-Laplacian, not under deivergence form.

Mots clés: Fully nonlinear Equations; comparison principle; Liouville type results

Domaines: Equations aux dérivées partielles [math.AP]

Isabeau Birindelli, Françoise Demengel. Comparison principle and Liouville type results for singular fully nonlinear operators.. Annales de Faculté des sciences de Toulous, 2004, 13 (2), pp.261-287. ⟨hal-00842591⟩