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

Autores/as

  • 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

Palabras clave:

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

Resumen

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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Publicado

2010-05-19

Número

Sección

Research Articles