{"title":"具有几个临界Sobolev-Hardy项的分数阶p- laplace系统的解","authors":"I. Dehsari, N. Nyamoradi","doi":"10.7153/DEA-2021-13-02","DOIUrl":null,"url":null,"abstract":"In this paper, we consider a class of fractional p -Laplacian system with three fractional critical Sobolev-Hardy exponents. By the Ekeland variational principle and the MountainPass theorem, we study the existence and multiplicity of positive solutions to the system. Mathematics subject classification (2010): 35B33, 35J60, 35J65.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Solutions for the fractional p-Laplacian systems with several critical Sobolev-Hardy terms\",\"authors\":\"I. Dehsari, N. Nyamoradi\",\"doi\":\"10.7153/DEA-2021-13-02\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider a class of fractional p -Laplacian system with three fractional critical Sobolev-Hardy exponents. By the Ekeland variational principle and the MountainPass theorem, we study the existence and multiplicity of positive solutions to the system. Mathematics subject classification (2010): 35B33, 35J60, 35J65.\",\"PeriodicalId\":51863,\"journal\":{\"name\":\"Differential Equations & Applications\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Differential Equations & Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/DEA-2021-13-02\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations & Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/DEA-2021-13-02","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Solutions for the fractional p-Laplacian systems with several critical Sobolev-Hardy terms
In this paper, we consider a class of fractional p -Laplacian system with three fractional critical Sobolev-Hardy exponents. By the Ekeland variational principle and the MountainPass theorem, we study the existence and multiplicity of positive solutions to the system. Mathematics subject classification (2010): 35B33, 35J60, 35J65.
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