Multiplicity of Positive Solutions for a Second-Order Elliptic System of Kirchhoff Type

We study elliptic problems of Kirchhoff type in Ω⊂RN  (N≥3). Using variational tools, we establish the existence of at least two nontrivial and nonnegative solutions.

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Main Authors: S. Khademloo, E. Valipour, A. Babakhani
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/280130
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author S. Khademloo
E. Valipour
A. Babakhani
author_facet S. Khademloo
E. Valipour
A. Babakhani
author_sort S. Khademloo
collection DOAJ
description We study elliptic problems of Kirchhoff type in Ω⊂RN  (N≥3). Using variational tools, we establish the existence of at least two nontrivial and nonnegative solutions.
format Article
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institution Kabale University
issn 1085-3375
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language English
publishDate 2014-01-01
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series Abstract and Applied Analysis
spelling doaj-art-b47b9cdd7ddd415c83ef45f349d80d342025-02-03T01:00:59ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/280130280130Multiplicity of Positive Solutions for a Second-Order Elliptic System of Kirchhoff TypeS. Khademloo0E. Valipour1A. Babakhani2Department of Mathematics, Faculty of Basic Sciences, Babol Noshirvani University of Technology, Babol 4714871167, IranDepartment of Mathematics, Faculty of Basic Sciences, Babol Noshirvani University of Technology, Babol 4714871167, IranDepartment of Mathematics, Faculty of Basic Sciences, Babol Noshirvani University of Technology, Babol 4714871167, IranWe study elliptic problems of Kirchhoff type in Ω⊂RN  (N≥3). Using variational tools, we establish the existence of at least two nontrivial and nonnegative solutions.http://dx.doi.org/10.1155/2014/280130
spellingShingle S. Khademloo
E. Valipour
A. Babakhani
Multiplicity of Positive Solutions for a Second-Order Elliptic System of Kirchhoff Type
Abstract and Applied Analysis
title Multiplicity of Positive Solutions for a Second-Order Elliptic System of Kirchhoff Type
title_full Multiplicity of Positive Solutions for a Second-Order Elliptic System of Kirchhoff Type
title_fullStr Multiplicity of Positive Solutions for a Second-Order Elliptic System of Kirchhoff Type
title_full_unstemmed Multiplicity of Positive Solutions for a Second-Order Elliptic System of Kirchhoff Type
title_short Multiplicity of Positive Solutions for a Second-Order Elliptic System of Kirchhoff Type
title_sort multiplicity of positive solutions for a second order elliptic system of kirchhoff type
url http://dx.doi.org/10.1155/2014/280130
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AT evalipour multiplicityofpositivesolutionsforasecondorderellipticsystemofkirchhofftype
AT ababakhani multiplicityofpositivesolutionsforasecondorderellipticsystemofkirchhofftype