Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 75, pp. 1-8.

Title: Eigencurves for a Steklov problem

Authors: Aomar Anane   (Univ. Mohamed I, Oujda, Maroc)
         Omar Chakrone (Univ. Mohamed I, Oujda, Maroc)
	 Belhadj Karim (Univ. Mohamed I, Oujda, Maroc)
	 Abdellah Zerouali (Univ. Mohamed I, Oujda, Maroc)

Abstract:
 In this article, we study the existence of the eigencurves for
 a Steklov problem and we obtain their variational formulation.
 Also we prove the simplicity and the isolation results of each
 point of the principal eigencurve.  Also we obtain the continuity
 and the differentiability of the principal eigencurve.
 
Submitted March 03, 2009. Published June 05, 2009.
Math Subject Classifications: 35J70, 35P30.
Key Words: Principal eigencurve; Steklov problem;
           p-Laplacian; Sobolev trace embedding.