{"title":"Asymptotic behaviors of normalized ground states for fractional Schrödinger equations","authors":"Jun Lei, Chunliu Chen, Yue Wang","doi":"10.1007/s00013-024-02069-8","DOIUrl":null,"url":null,"abstract":"<div><p>This article concerns a connection between the fractional Schrödinger equation and the logarithmic fractional Schrödinger equation. By rescaling and the constrained minimization method, we prove the asymptotic behaviors of normalized ground states for two equations.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"124 1","pages":"109 - 120"},"PeriodicalIF":0.5000,"publicationDate":"2024-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archiv der Mathematik","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00013-024-02069-8","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
This article concerns a connection between the fractional Schrödinger equation and the logarithmic fractional Schrödinger equation. By rescaling and the constrained minimization method, we prove the asymptotic behaviors of normalized ground states for two equations.
期刊介绍:
Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.