{"title":"Normalized solutions for the mass supercritical Kirchhoff problem","authors":"Liu Gao, Zhong Tan","doi":"10.1016/j.jmaa.2025.129475","DOIUrl":null,"url":null,"abstract":"<div><div>In the present paper, we are concerned with the existence of normalized solutions for the Kirchhoff problem, where the nonlinear term exhibits some new weak mass supercritical conditions. By employing analytical techniques and critical point theorems, we establish several new existence results. Our main results improve and complement the works of He et al. <span><span>[10]</span></span>, Wang and Qian (2023) <span><span>[22]</span></span> and some other related literature.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"549 1","pages":"Article 129475"},"PeriodicalIF":1.2000,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X25002562","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In the present paper, we are concerned with the existence of normalized solutions for the Kirchhoff problem, where the nonlinear term exhibits some new weak mass supercritical conditions. By employing analytical techniques and critical point theorems, we establish several new existence results. Our main results improve and complement the works of He et al. [10], Wang and Qian (2023) [22] and some other related literature.
期刊介绍:
The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.
Papers are sought which employ one or more of the following areas of classical analysis:
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