{"title":"Existence of three weak solutions for some singular elliptic problems with Hardy potential","authors":"M. R. H. Tavani, M. Khodabakhshi","doi":"10.30495/JME.V0I0.1571","DOIUrl":null,"url":null,"abstract":"In this paper,under growth conditions on the nonlinearity, we obtain the existence of at least three weak solutions for some singular elliptic Dirichlet problems involving the $p$-Laplacian. The approach is based on variational methods and critical point theory.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2020-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Extension","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30495/JME.V0I0.1571","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 4
Abstract
In this paper,under growth conditions on the nonlinearity, we obtain the existence of at least three weak solutions for some singular elliptic Dirichlet problems involving the $p$-Laplacian. The approach is based on variational methods and critical point theory.