{"title":"一类具有Hardy势的奇异椭圆型问题三个弱解的存在性","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":"{\"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}","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}
Existence of three weak solutions for some singular elliptic problems with Hardy potential
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.
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