most citedEigenvalue and Dirichlet problem for fully-nonlinear operators in non smooth domains

22 citations · 22 across the 2 of their papers we have counts for

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math.AP2009★ 4 cited

Regularity and uniqueness of the first eigenfunction for singular fully non linear operators

Isabeau Birindelli, Francoise Demengel

In this article we prove that solutions of singular fully nonlinear partial differential equations are . We also prove the simplicity of the principal eigenvalues for the…

math.AP2008★ 22 cited

Eigenvalue and Dirichlet problem for fully-nonlinear operators in non smooth domains

I. Birindelli, F. Demengel

In this paper we study the maximum principle, the existence of eigenvalue and the existence of solution for the Dirichlet problem for operators which are fully-nonlinear, elliptic…

math.AP2004

First eigenvalue and Maximum principle for fully nonlinear singular operators

I. Birindelli, F. Demengel

Through the Maximum principle we define the principal eigenvalue for a class of fully-nonlinear operators that are the non-variational equivalent of the p-Laplacian. We also obtain…