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

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

doi:10.5269/bspm.v27i2.10208

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

Autores

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

Palavras-chave:

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

Resumo

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.