Principal eigenvalues and the Dirichlet problem for fully nonlinear operators

Alexander Quaas (1) , Boyan Sirakov (2)

1 Departamento de Matematica [Valparaiso]
2 MODAL'X - Modélisation aléatoire de Paris X

We prove the existence of two principal eigenvalues end eigenfunctions for 1-homogeneous convex uniformly elliptic fully nonlinear operators, study their properties, and discuss related Dirichlet problems.

Domaines: Equations aux dérivées partielles [math.AP]

Alexander Quaas, Boyan Sirakov. Principal eigenvalues and the Dirichlet problem for fully nonlinear operators. 2005. ⟨hal-00004692v1⟩