{"title":"论保角几何中出现的一些克雷洛夫型全非线性方程的存在性","authors":"Ya Ding, Yan He, Jun Liu","doi":"10.1016/j.na.2024.113709","DOIUrl":null,"url":null,"abstract":"<div><div>This paper considers a class of fully nonlinear equations on Riemannian manifolds that arise in conformal geometry. Based on the a priori estimates and the blow-up analysis, we obtain the existence theorems for these equations.</div></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":"251 ","pages":"Article 113709"},"PeriodicalIF":1.3000,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On existence for some fully nonlinear equations of Krylov-type arising in conformal geometry\",\"authors\":\"Ya Ding, Yan He, Jun Liu\",\"doi\":\"10.1016/j.na.2024.113709\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper considers a class of fully nonlinear equations on Riemannian manifolds that arise in conformal geometry. Based on the a priori estimates and the blow-up analysis, we obtain the existence theorems for these equations.</div></div>\",\"PeriodicalId\":49749,\"journal\":{\"name\":\"Nonlinear Analysis-Theory Methods & Applications\",\"volume\":\"251 \",\"pages\":\"Article 113709\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-11-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis-Theory Methods & Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0362546X24002281\",\"RegionNum\":2,\"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":"Nonlinear Analysis-Theory Methods & Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0362546X24002281","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
On existence for some fully nonlinear equations of Krylov-type arising in conformal geometry
This paper considers a class of fully nonlinear equations on Riemannian manifolds that arise in conformal geometry. Based on the a priori estimates and the blow-up analysis, we obtain the existence theorems for these equations.
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Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.
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