Regularity and uniqueness of the first eigenfunction for singular fully noninear equations

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

For singular fully nonlinear operators we prove that the eigenfunctions corresponding to the principal eigenvalues in bounded domains are simple.

Mots clés: Viscosity solutions 28 Fully-nonlinear elliptic operator 29 Maximum principle 30 Regularity Principal eigenvalue Positivity Qualitative properties

Domaines: Equations aux dérivées partielles [math.AP]

Isabeau Birindelli, Françoise Demengel. Regularity and uniqueness of the first eigenfunction for singular fully noninear equations. Journal of Differential Equations, 2010, 249 (10), pp.1089-110. ⟨hal-00842107⟩