Infinitely Many Solutions for a Class of Fractional Boundary Value Problems with Nonsmooth Potential

We establish the existence of infinitely many solutions for a class of fractional boundary value problems with nonsmooth potential. The technical approach is mainly based on a result of infinitely many critical points for locally Lipschitz functions.

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Bibliographic Details
Main Author: Kaimin Teng
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/181052
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author Kaimin Teng
author_facet Kaimin Teng
author_sort Kaimin Teng
collection DOAJ
description We establish the existence of infinitely many solutions for a class of fractional boundary value problems with nonsmooth potential. The technical approach is mainly based on a result of infinitely many critical points for locally Lipschitz functions.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-82e7c64df29e4bd7ac150279c594fe3f2025-08-20T03:37:37ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/181052181052Infinitely Many Solutions for a Class of Fractional Boundary Value Problems with Nonsmooth PotentialKaimin Teng0Department of Mathematics, Taiyuan University of Technology, Taiyuan, Shanxi 030024, ChinaWe establish the existence of infinitely many solutions for a class of fractional boundary value problems with nonsmooth potential. The technical approach is mainly based on a result of infinitely many critical points for locally Lipschitz functions.http://dx.doi.org/10.1155/2013/181052
spellingShingle Kaimin Teng
Infinitely Many Solutions for a Class of Fractional Boundary Value Problems with Nonsmooth Potential
Abstract and Applied Analysis
title Infinitely Many Solutions for a Class of Fractional Boundary Value Problems with Nonsmooth Potential
title_full Infinitely Many Solutions for a Class of Fractional Boundary Value Problems with Nonsmooth Potential
title_fullStr Infinitely Many Solutions for a Class of Fractional Boundary Value Problems with Nonsmooth Potential
title_full_unstemmed Infinitely Many Solutions for a Class of Fractional Boundary Value Problems with Nonsmooth Potential
title_short Infinitely Many Solutions for a Class of Fractional Boundary Value Problems with Nonsmooth Potential
title_sort infinitely many solutions for a class of fractional boundary value problems with nonsmooth potential
url http://dx.doi.org/10.1155/2013/181052
work_keys_str_mv AT kaiminteng infinitelymanysolutionsforaclassoffractionalboundaryvalueproblemswithnonsmoothpotential