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

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

2009-04-05

arxiv.org/abs/0904.0792v1

Mathematics

Analysis of PDEs

34 pages, no figures

Scientific paper

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.

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