{"title":"含凹凸和Hardy-Littlewood-Sobolev临界指数的Choquard方程的多个正解","authors":"R. Echarghaoui, M. Khiddi, S. Sbai","doi":"10.7153/DEA-2017-09-34","DOIUrl":null,"url":null,"abstract":"In this paper, we consider a Choquard equation involving both concave-convex and Hardy-Littlewood-Sobolev critical exponent. By using the N ehari manifold, fibering maps and the Lusternik-Schnirelman category, we prove that the problem has at least cat(Ω)+ 1 distinct positive solutions.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"71 1","pages":"505-520"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Multiple positive solutions for a Choquard equation involving both concave-convex and Hardy-Littlewood-Sobolev critical exponent\",\"authors\":\"R. Echarghaoui, M. Khiddi, S. Sbai\",\"doi\":\"10.7153/DEA-2017-09-34\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider a Choquard equation involving both concave-convex and Hardy-Littlewood-Sobolev critical exponent. By using the N ehari manifold, fibering maps and the Lusternik-Schnirelman category, we prove that the problem has at least cat(Ω)+ 1 distinct positive solutions.\",\"PeriodicalId\":11162,\"journal\":{\"name\":\"Differential Equations and Applications\",\"volume\":\"71 1\",\"pages\":\"505-520\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Differential Equations and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/DEA-2017-09-34\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/DEA-2017-09-34","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Multiple positive solutions for a Choquard equation involving both concave-convex and Hardy-Littlewood-Sobolev critical exponent
In this paper, we consider a Choquard equation involving both concave-convex and Hardy-Littlewood-Sobolev critical exponent. By using the N ehari manifold, fibering maps and the Lusternik-Schnirelman category, we prove that the problem has at least cat(Ω)+ 1 distinct positive solutions.
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