International Journal of Mathematics and Mathematical Sciences 
Volume 2007 (2007), Article ID 57607, 13 pages
doi:10.1155/2007/57607
Research Article

On the First Curve in the FučiK Spectrum with Weights for a Mixed p-Laplacian

Liamidi Leadi and Aboubacar Marcos

 Institut de Mathématiques et de Sciences Physiques, Université d'Abomey Calavi, Porto-Novo 01 BP 613, Benin
Received 27 April 2007; Accepted 9 August 2007

Recommended by Peter Basarab-Horwath

Abstract

We show the existence of a first curve in the Fučik spectrum with weights for the p-Laplacian under mixed boundary conditions. We also study the asymptotic behavior of this first curve.