{"title":"Minimization principle in ordered Banach spaces and application via Ekeland's variational principle","authors":"A. Boucenna, M. Briki, T. Moussaoui, D. Regan","doi":"10.7153/dea-09-08","DOIUrl":null,"url":null,"abstract":"In this paper we establish a minimization principle in an ordered Banach space (in particular in a Riesz-Banach space). As an application we discuss the existence of a positive solution for a boundary value problem on the half-line even when the nonlinear term is signchanging. Mathematics subject classification (2010): 35B38, 47L07.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"28 6","pages":"99-104"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/dea-09-08","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper we establish a minimization principle in an ordered Banach space (in particular in a Riesz-Banach space). As an application we discuss the existence of a positive solution for a boundary value problem on the half-line even when the nonlinear term is signchanging. Mathematics subject classification (2010): 35B38, 47L07.
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