{"title":"一类p-Laplacian算子驱动的离散问题三个弱解的存在性","authors":"Maurizio Imbesi, R. Lashkaripour, Z. Ahmadi","doi":"10.24193/FPT-RO.2021.1.16","DOIUrl":null,"url":null,"abstract":"In this paper, by using a theorem based on variational method which was recently proved by Ricceri, we establish the existence of three weak solutions for a class of p-Laplacian discrete problems. Remarks and examples are provided to illustrate our result.","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2021-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Existence of three weak solutions for a class of discrete problems driven by p-Laplacian operator\",\"authors\":\"Maurizio Imbesi, R. Lashkaripour, Z. Ahmadi\",\"doi\":\"10.24193/FPT-RO.2021.1.16\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, by using a theorem based on variational method which was recently proved by Ricceri, we establish the existence of three weak solutions for a class of p-Laplacian discrete problems. Remarks and examples are provided to illustrate our result.\",\"PeriodicalId\":51051,\"journal\":{\"name\":\"Fixed Point Theory\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2021-02-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fixed Point Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.24193/FPT-RO.2021.1.16\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fixed Point Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.24193/FPT-RO.2021.1.16","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Existence of three weak solutions for a class of discrete problems driven by p-Laplacian operator
In this paper, by using a theorem based on variational method which was recently proved by Ricceri, we establish the existence of three weak solutions for a class of p-Laplacian discrete problems. Remarks and examples are provided to illustrate our result.
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Fixed Point Theory publishes relevant research and expository papers devoted to the all topics of fixed point theory and applications in all structured set (algebraic, metric, topological (general and algebraic), geometric (synthetic, analytic, metric, differential, topological), ...) and in category theory. Applications to ordinary differential equations, partial differential equations, functional equations, integral equations, mathematical physics, mathematical chemistry, mathematical biology, mathematical economics, mathematical finances, informatics, ..., are also welcome.
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