<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

Résumé

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.