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

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 stud...

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Bibliographic Details
Published inBoletim da Sociedade Paranaense de Matemática Vol. 33; no. 1; p. 9
Main Authors Dakkak, Ahmed, El Habib, Siham, Tsouli, Najib
Format Journal Article
LanguageEnglish
Published 01.01.2015
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ISSN0037-8712
2175-1188
DOI10.5269/bspm.v33i1.19948

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Summary: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.
ISSN:0037-8712
2175-1188
DOI:10.5269/bspm.v33i1.19948