Nontrivial Solutions of a Class of Kirchhoff Type Problems via Local Linking Method

The existence of nontrivial solutions of Kirchhoff type problems is proved by using the local linking method, and the new results do not require classical compactness conditions.

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Bibliographic Details
Main Authors: Anmin Mao, Lin Zhang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/573616
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author Anmin Mao
Lin Zhang
author_facet Anmin Mao
Lin Zhang
author_sort Anmin Mao
collection DOAJ
description The existence of nontrivial solutions of Kirchhoff type problems is proved by using the local linking method, and the new results do not require classical compactness conditions.
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institution Kabale University
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publishDate 2014-01-01
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series Abstract and Applied Analysis
spelling doaj-art-b405b0c2409a419680bbcdcae1d27a952025-02-03T01:27:18ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/573616573616Nontrivial Solutions of a Class of Kirchhoff Type Problems via Local Linking MethodAnmin Mao0Lin Zhang1School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaThe existence of nontrivial solutions of Kirchhoff type problems is proved by using the local linking method, and the new results do not require classical compactness conditions.http://dx.doi.org/10.1155/2014/573616
spellingShingle Anmin Mao
Lin Zhang
Nontrivial Solutions of a Class of Kirchhoff Type Problems via Local Linking Method
Abstract and Applied Analysis
title Nontrivial Solutions of a Class of Kirchhoff Type Problems via Local Linking Method
title_full Nontrivial Solutions of a Class of Kirchhoff Type Problems via Local Linking Method
title_fullStr Nontrivial Solutions of a Class of Kirchhoff Type Problems via Local Linking Method
title_full_unstemmed Nontrivial Solutions of a Class of Kirchhoff Type Problems via Local Linking Method
title_short Nontrivial Solutions of a Class of Kirchhoff Type Problems via Local Linking Method
title_sort nontrivial solutions of a class of kirchhoff type problems via local linking method
url http://dx.doi.org/10.1155/2014/573616
work_keys_str_mv AT anminmao nontrivialsolutionsofaclassofkirchhofftypeproblemsvialocallinkingmethod
AT linzhang nontrivialsolutionsofaclassofkirchhofftypeproblemsvialocallinkingmethod