Generalized eigenvalues for fully tnonlinear singular or degenerate operators in the radial case

2009/04/05 by Françoise Demengel, Demengel, Francoise
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.0904.0792

Abstract

In this paper we extend some existence's results concerning the generalized eigenvalues for fully nonlinear operators singular or degenerate. We consider the radial case and we prove the existence of an infinite number of eigenvalues, simple and isolated. This completes the results obtained by the author with Isabeau Birindelli for the first eigenvalues in the radial case, and the results obtained for the Pucci's operator by Busca Esteban and Quaas and for the p-Laplace operator by Del Pino and Manasevich.

Related

• Eigenvalues for radially symmetric non-variational fully nonlinear operators
• Eigenvalue and Dirichlet problem for fully-nonlinear operators in non smooth domains
• First eigenvalue and Maximum principle for fully nonlinear singular operators
• The Dirichlet problem for singular fully nonlinear operators
• Eigenvalue, maximum principle and regularity for fully non linear homogeneous operators