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

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
Main Authors: Ahmed Dakkak, Siham El Habib, Najib Tsouli
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2015-11-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
one dimensional p-Laplacian
Spectrum
Neumann boundary conditions
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/19948
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spelling doaj-4f59a944d05d41d685ed25af371885702020-11-25T01:23:02ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882015-11-0133192110.5269/bspm.v33i1.1994810455On the spectrum of one dimensional p-Laplacian for an eigenvalue problem with Neumann boundary conditionsAhmed Dakkak0Siham El Habib1Najib Tsouli2Faculté poly-discinplinaire de Taza laboratory: LIMAO, Department of Mathematics, Physics and Computer Science, Faculty polydisciplinaryUniversity Mohamed 1st Faculté des Sciences et Techniques d'Al Hoceima Department of MathematicsUniversity Mohamed 1st Faculté des Sciences d'Oujda Department of MathematicsThis 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.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/19948one dimensional p-LaplacianSpectrumNeumann boundary conditions
collection DOAJ
language English
format Article
sources DOAJ
author Ahmed Dakkak
Siham El Habib
Najib Tsouli
spellingShingle Ahmed Dakkak
Siham El Habib
Najib Tsouli
On the spectrum of one dimensional p-Laplacian for an eigenvalue problem with Neumann boundary conditions
Boletim da Sociedade Paranaense de Matemática
one dimensional p-Laplacian
Spectrum
Neumann boundary conditions
author_facet Ahmed Dakkak
Siham El Habib
Najib Tsouli
author_sort Ahmed Dakkak
title On the spectrum of one dimensional p-Laplacian for an eigenvalue problem with Neumann boundary conditions
title_short On the spectrum of one dimensional p-Laplacian for an eigenvalue problem with Neumann boundary conditions
title_full On the spectrum of one dimensional p-Laplacian for an eigenvalue problem with Neumann boundary conditions
title_fullStr On the spectrum of one dimensional p-Laplacian for an eigenvalue problem with Neumann boundary conditions
title_full_unstemmed On the spectrum of one dimensional p-Laplacian for an eigenvalue problem with Neumann boundary conditions
title_sort on the spectrum of one dimensional p-laplacian for an eigenvalue problem with neumann boundary conditions
publisher Sociedade Brasileira de Matemática
series Boletim da Sociedade Paranaense de Matemática
issn 0037-8712
2175-1188
publishDate 2015-11-01
description 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.
topic one dimensional p-Laplacian
Spectrum
Neumann boundary conditions
url http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/19948
work_keys_str_mv AT ahmeddakkak onthespectrumofonedimensionalplaplacianforaneigenvalueproblemwithneumannboundaryconditions
AT sihamelhabib onthespectrumofonedimensionalplaplacianforaneigenvalueproblemwithneumannboundaryconditions
AT najibtsouli onthespectrumofonedimensionalplaplacianforaneigenvalueproblemwithneumannboundaryconditions
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