On the spectrum of one dimensional p-Laplacian for an eigenvalue problem with Neumann boundary conditions

Ahmed Dakkak; Siham El Habib; Najib Tsouli

doi:10.5269/bspm.v33i1.19948

On the spectrum of one dimensional p-Laplacian for an eigenvalue problem with Neumann boundary conditions

Ahmed Dakkak Faculté poly-discinplinaire de Taza Physics and Computer Science Department of Mathematics laboratory: LIMAO
Siham El Habib University Mohamed 1st Faculty of Science and Technology Department of Mathematics
Najib Tsouli University Mohamed 1st Faculté des Sciences d'Oujda Department of Mathematics

DOI: https://doi.org/10.5269/bspm.v33i1.19948

Resumo

This work deals with an indefinite weight one dimensional eigenvalue problem of the p-Laplacian operator subject to Neumann boundary conditions. We are interested in some properties of the spectrum like simplicity, monotonicity and strict monotonicity with respect to the weight. We also aim the study of zeros points of eigenfunctions.