Eigenfunctions for singular fully nonlinear equations in unbounded domains.

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 an Harnack inequlaity in dimension 2 for Fully nonlinear pde degenerate or singular and derive from this the existence of principal eigenfuncations in unbounded domain.

Mots clés: Fully non linear equations; Harnack inequality

Domaines: Equations aux dérivées partielles [math.AP]

Isabeau Birindelli, Françoise Demengel. Eigenfunctions for singular fully nonlinear equations in unbounded domains.. NoDEA Nonlinear Differential Equations Appl., 2010, 17 (6), pp.697-714. ⟨hal-00842113⟩