{"title":"Existence and multiplicity of normalized solutions for the nonlinear Chern–Simons–Schrödinger equations","authors":"Haibo Chen, Weihong Xie","doi":"10.5186/aasfm.2020.4518","DOIUrl":null,"url":null,"abstract":"In this paper, we prove the existence and multiplicity results of solutions with prescribed L-norm for a class of nonlinear Chern–Simons–Schrödinger equations in R −∆u− λu + κ ( h2(|x|) |x|2 + ˆ ∞ |x| h(s) s u(s) ds ) u = f(u), where λ ∈ R, κ > 0, f ∈ C(R,R) and","PeriodicalId":50787,"journal":{"name":"Annales Academiae Scientiarum Fennicae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Academiae Scientiarum Fennicae-Mathematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.5186/aasfm.2020.4518","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper, we prove the existence and multiplicity results of solutions with prescribed L-norm for a class of nonlinear Chern–Simons–Schrödinger equations in R −∆u− λu + κ ( h2(|x|) |x|2 + ˆ ∞ |x| h(s) s u(s) ds ) u = f(u), where λ ∈ R, κ > 0, f ∈ C(R,R) and
期刊介绍：
Annales Academiæ Scientiarum Fennicæ Mathematica is published by Academia Scientiarum Fennica since 1941. It was founded and edited, until 1974, by P.J. Myrberg. Its editor is Olli Martio.
AASF publishes refereed papers in all fields of mathematics with emphasis on analysis.
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