An Asymmetric Steklov Problem With Weights: the singular case

We prove the existence of a first nonprincipal eigenvalue for an asym-metric Steklov problem with weights. We are interested in the singular case (in where one of the weights has meanvalue zero), this case requires some special attention in connection with the Palais Smale (PS) conditions and with th...

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Bibliographic Details
Main Authors: B. Karim, O. Chakrone, A. Anane, A. Zerouali
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2009-11-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/10208/5645
Description
Summary:We prove the existence of a first nonprincipal eigenvalue for an asym-metric Steklov problem with weights. We are interested in the singular case (in where one of the weights has meanvalue zero), this case requires some special attention in connection with the Palais Smale (PS) conditions and with the mountain pass geometry.
ISSN:0037-8712
2175-1188