{"title":"(次)黎曼流形上kirchhoff型能量泛函的下半连续性和谱隙","authors":"Csaba Farkas, S. Kajántó, C. Varga","doi":"10.12775/tmna.2022.034","DOIUrl":null,"url":null,"abstract":"In this paper we characterize the sequentially weakly lower semicontinuity\nof the parameter-depending energy functional associated with the critical Kirchhoff\nproblem in context of (sub)Riemannian manifolds.\nWe also present some spectral gap and convexity results.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Lower semicontinuity of Kirchhoff-type energy functionals and spectral gaps on (sub)Riemannian manifolds\",\"authors\":\"Csaba Farkas, S. Kajántó, C. Varga\",\"doi\":\"10.12775/tmna.2022.034\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we characterize the sequentially weakly lower semicontinuity\\nof the parameter-depending energy functional associated with the critical Kirchhoff\\nproblem in context of (sub)Riemannian manifolds.\\nWe also present some spectral gap and convexity results.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-07-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.12775/tmna.2022.034\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12775/tmna.2022.034","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Lower semicontinuity of Kirchhoff-type energy functionals and spectral gaps on (sub)Riemannian manifolds
In this paper we characterize the sequentially weakly lower semicontinuity
of the parameter-depending energy functional associated with the critical Kirchhoff
problem in context of (sub)Riemannian manifolds.
We also present some spectral gap and convexity results.