Multiple Solutions for a Class of Dirichlet Double Eigenvalue Quasilinear Elliptic Systems Involving the (p (1),…, p (n))-Laplacian Operator

Existence results of three weak solutions for a Dirichlet double eigenvalue quasilinear elliptic system involving the (p (1),…, p (n))-Laplacian operator, under suitable assumptions, are established. Our main tool is based on a recent three-critical-point theorem obtained by Ricceri. We also give so...

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Detalles Bibliográficos
Autores principales: Hadjian, Armin, Shakeri, Saleh
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3835851/
https://www.ncbi.nlm.nih.gov/pubmed/24302869
http://dx.doi.org/10.1155/2013/767989
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author Hadjian, Armin
Shakeri, Saleh
author_facet Hadjian, Armin
Shakeri, Saleh
author_sort Hadjian, Armin
collection PubMed
description Existence results of three weak solutions for a Dirichlet double eigenvalue quasilinear elliptic system involving the (p (1),…, p (n))-Laplacian operator, under suitable assumptions, are established. Our main tool is based on a recent three-critical-point theorem obtained by Ricceri. We also give some examples to illustrate the obtained results.
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spelling pubmed-38358512013-12-03 Multiple Solutions for a Class of Dirichlet Double Eigenvalue Quasilinear Elliptic Systems Involving the (p (1),…, p (n))-Laplacian Operator Hadjian, Armin Shakeri, Saleh ScientificWorldJournal Research Article Existence results of three weak solutions for a Dirichlet double eigenvalue quasilinear elliptic system involving the (p (1),…, p (n))-Laplacian operator, under suitable assumptions, are established. Our main tool is based on a recent three-critical-point theorem obtained by Ricceri. We also give some examples to illustrate the obtained results. Hindawi Publishing Corporation 2013-11-03 /pmc/articles/PMC3835851/ /pubmed/24302869 http://dx.doi.org/10.1155/2013/767989 Text en Copyright © 2013 A. Hadjian and S. Shakeri. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Hadjian, Armin
Shakeri, Saleh
Multiple Solutions for a Class of Dirichlet Double Eigenvalue Quasilinear Elliptic Systems Involving the (p (1),…, p (n))-Laplacian Operator
title Multiple Solutions for a Class of Dirichlet Double Eigenvalue Quasilinear Elliptic Systems Involving the (p (1),…, p (n))-Laplacian Operator
title_full Multiple Solutions for a Class of Dirichlet Double Eigenvalue Quasilinear Elliptic Systems Involving the (p (1),…, p (n))-Laplacian Operator
title_fullStr Multiple Solutions for a Class of Dirichlet Double Eigenvalue Quasilinear Elliptic Systems Involving the (p (1),…, p (n))-Laplacian Operator
title_full_unstemmed Multiple Solutions for a Class of Dirichlet Double Eigenvalue Quasilinear Elliptic Systems Involving the (p (1),…, p (n))-Laplacian Operator
title_short Multiple Solutions for a Class of Dirichlet Double Eigenvalue Quasilinear Elliptic Systems Involving the (p (1),…, p (n))-Laplacian Operator
title_sort multiple solutions for a class of dirichlet double eigenvalue quasilinear elliptic systems involving the (p (1),…, p (n))-laplacian operator
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3835851/
https://www.ncbi.nlm.nih.gov/pubmed/24302869
http://dx.doi.org/10.1155/2013/767989
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