{"title":"Nonnegative Solutions of a Nonlinear System and Applications to Elliptic BVPs*","authors":"Guangchong Yang, Yanqiu Chen","doi":"10.47260/jamb/1122","DOIUrl":null,"url":null,"abstract":"Abstract\nIn this communication, we study the existence of nonnegative solutions of a\nnonlinear system in Banach spaces. These maps involved in the system defined on\ncone do not necessarily take values in the cone. Using fixed point theorems just\nestablished for this type of mappings, nonnegative solutions of the system are\nobtained and used to investigate elliptic boundary value problems (BVPs).\n\nMSC(2010): 47H10, 35J57.\nKeywords: Nonlinear system, Nonnegative solutions, Nowhere normal-outward\nmaps, Fixed point, Elliptic BVPs.","PeriodicalId":254947,"journal":{"name":"Journal of Applied Mathematics & Bioinformatics","volume":"81 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mathematics & Bioinformatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47260/jamb/1122","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract
In this communication, we study the existence of nonnegative solutions of a
nonlinear system in Banach spaces. These maps involved in the system defined on
cone do not necessarily take values in the cone. Using fixed point theorems just
established for this type of mappings, nonnegative solutions of the system are
obtained and used to investigate elliptic boundary value problems (BVPs).
MSC(2010): 47H10, 35J57.
Keywords: Nonlinear system, Nonnegative solutions, Nowhere normal-outward
maps, Fixed point, Elliptic BVPs.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
