2005-Oujda International Conference on Nonlinear Analysis,
Oujda, Morocco.
Electronic Journal of Differential Equations,
Conference 14 (2006), pp. 155-162. 

Title: Note on the nodal line of the p-Laplacian

Authors: Abdel R. El Amrouss (Univ. Mohamed 1er, Oujda, Maroc)
         Zakaria El Allali   (Univ. Mohamed 1er, Oujda, Maroc)
	 Najib Tsouli        (Univ. Mohamed 1er, Oujda, Maroc)
 
Abstract: 
 In this paper, we  prove that the length  of the nodal line  of
 the eigenfunctions associated to the second eigenvalue of the
 problem
 $$
 -\Delta_p u = \lambda \rho (x) |u|^{p-2}u \quad \hbox{in }  \Omega
 $$
 with the Dirichlet conditions is not
 bounded uniformly with respect to the weight.

Published September 20, 2006.
Math Subject Classifications: 58E05, 35J65, 56J20.
Key Words: Nonlinear eigenvalue problem; p-Laplacian; nodal line.