<b>An Asymmetric Steklov Problem With Weights: the singular case</b> - doi: 10.5269/bspm.v27i2.10208

A. Anane; O. Chakrone; B. Karim; A. Zerouali

doi:10.5269/bspm.v27i2.10208

<b>An Asymmetric Steklov Problem With Weights: the singular case</b> - doi: 10.5269/bspm.v27i2.10208

A. Anane Universit Mohamed Ier
O. Chakrone Université Mohammed premier
B. Karim Université Mohammed premier
A. Zerouali Université Mohammed premier

DOI: https://doi.org/10.5269/bspm.v27i2.10208

Keywords: Steklov problem, p-Laplacian, Asymmetry, weights, Nonprinci- pal eigenvalue, Cerami (PS) condition.

Abstract

We prove the existence of a first nonprincipal eigenvalue for an asymmetric 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.

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Published

2010-05-19

Issue

Vol 27 No 2 (2009)

Section

Articles

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