{"title":"具有负电位的薛定谔-波普-波多尔斯基系统的归一化解法","authors":"Rong Zhang, Shuai Yao, Juntao Sun","doi":"10.1016/j.aml.2024.109368","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we study a class of Schrödinger–Bopp–Podolsky systems with a negative potential <span><math><mrow><mi>V</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math></span> in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mn>3</mn></mrow></msup></math></span>. By using Mountain-Pass argument and detailed analysis of the energy level value, we obtain a normalized solution with positive energy under suitable assumptions on <span><math><mrow><mi>V</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math></span>. Moreover, we also prove that there is no normalized solutions with negative energy.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"161 ","pages":"Article 109368"},"PeriodicalIF":2.9000,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Normalized solutions for Schrödinger–Bopp–Podolsky system with a negative potential\",\"authors\":\"Rong Zhang, Shuai Yao, Juntao Sun\",\"doi\":\"10.1016/j.aml.2024.109368\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this paper, we study a class of Schrödinger–Bopp–Podolsky systems with a negative potential <span><math><mrow><mi>V</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math></span> in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mn>3</mn></mrow></msup></math></span>. By using Mountain-Pass argument and detailed analysis of the energy level value, we obtain a normalized solution with positive energy under suitable assumptions on <span><math><mrow><mi>V</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math></span>. Moreover, we also prove that there is no normalized solutions with negative energy.</div></div>\",\"PeriodicalId\":55497,\"journal\":{\"name\":\"Applied Mathematics Letters\",\"volume\":\"161 \",\"pages\":\"Article 109368\"},\"PeriodicalIF\":2.9000,\"publicationDate\":\"2024-11-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Mathematics Letters\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0893965924003884\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics Letters","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0893965924003884","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Normalized solutions for Schrödinger–Bopp–Podolsky system with a negative potential
In this paper, we study a class of Schrödinger–Bopp–Podolsky systems with a negative potential in . By using Mountain-Pass argument and detailed analysis of the energy level value, we obtain a normalized solution with positive energy under suitable assumptions on . Moreover, we also prove that there is no normalized solutions with negative energy.
期刊介绍：
The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
