{"title":"THE FRACTIONAL SCHRÖDINGER-POISSON SYSTEMS WITH INFINITELY MANY SOLUTIONS","authors":"T. Jin, Zhipeng Yang","doi":"10.4134/JKMS.J190156","DOIUrl":null,"url":null,"abstract":". In this paper, we study the existence of infinitely many large energy solutions for the supercubic fractional Schr¨odinger-Poisson sys- tems. We consider different superlinear growth assumptions on the nonlinearity, starting from the well-know Ambrosetti-Rabinowitz type condi- tion. We obtain three different existence results in this setting by using the Fountain Theorem, all these results extend some results for semelinear Schr¨odinger-Poisson systems to the nonlocal fractional setting.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4134/JKMS.J190156","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7
Abstract
. In this paper, we study the existence of infinitely many large energy solutions for the supercubic fractional Schr¨odinger-Poisson sys- tems. We consider different superlinear growth assumptions on the nonlinearity, starting from the well-know Ambrosetti-Rabinowitz type condi- tion. We obtain three different existence results in this setting by using the Fountain Theorem, all these results extend some results for semelinear Schr¨odinger-Poisson systems to the nonlocal fractional setting.
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