{"title":"Chern-Simons-Schrödinger系统基态归一化解的存在性","authors":"Yu Mao, Xingping Wu, Chunlei Tang","doi":"10.1007/s10473-023-0620-7","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we study normalized solutions of the Chern-Simons-Schrödinger system with general nonlinearity and a potential in <i>H</i><sup>1</sup>(ℝ)<sup>2</sup>. When the nonlinearity satisfies some general 3-superlinear conditions, we obtain the existence of ground state normalized solutions by using the minimax procedure proposed by Jeanjean in [L. Jeanjean, Existence of solutions with prescribed norm for semilinear elliptic equations, Nonlinear Anal. (1997)].</p></div>","PeriodicalId":50998,"journal":{"name":"Acta Mathematica Scientia","volume":"43 6","pages":"2649 - 2661"},"PeriodicalIF":1.2000,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The existence of ground state normalized solutions for Chern-Simons-Schrödinger systems\",\"authors\":\"Yu Mao, Xingping Wu, Chunlei Tang\",\"doi\":\"10.1007/s10473-023-0620-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we study normalized solutions of the Chern-Simons-Schrödinger system with general nonlinearity and a potential in <i>H</i><sup>1</sup>(ℝ)<sup>2</sup>. When the nonlinearity satisfies some general 3-superlinear conditions, we obtain the existence of ground state normalized solutions by using the minimax procedure proposed by Jeanjean in [L. Jeanjean, Existence of solutions with prescribed norm for semilinear elliptic equations, Nonlinear Anal. (1997)].</p></div>\",\"PeriodicalId\":50998,\"journal\":{\"name\":\"Acta Mathematica Scientia\",\"volume\":\"43 6\",\"pages\":\"2649 - 2661\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2023-11-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mathematica Scientia\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10473-023-0620-7\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Scientia","FirstCategoryId":"1089","ListUrlMain":"https://link.springer.com/article/10.1007/s10473-023-0620-7","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
The existence of ground state normalized solutions for Chern-Simons-Schrödinger systems
In this paper, we study normalized solutions of the Chern-Simons-Schrödinger system with general nonlinearity and a potential in H1(ℝ)2. When the nonlinearity satisfies some general 3-superlinear conditions, we obtain the existence of ground state normalized solutions by using the minimax procedure proposed by Jeanjean in [L. Jeanjean, Existence of solutions with prescribed norm for semilinear elliptic equations, Nonlinear Anal. (1997)].
期刊介绍：
Acta Mathematica Scientia was founded by Prof. Li Guoping (Lee Kwok Ping) in April 1981.
The aim of Acta Mathematica Scientia is to present to the specialized readers important new achievements in the areas of mathematical sciences. The journal considers for publication of original research papers in all areas related to the frontier branches of mathematics with other science and technology.
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