{"title":"翘积流形中具有非恒定诺伊曼边界条件的超定问题","authors":"Jihye Lee , Keomkyo Seo","doi":"10.1016/j.na.2024.113603","DOIUrl":null,"url":null,"abstract":"<div><p>We obtain Serrin-type theorems of the solution to overdetermined problems in a warped product manifold with a nonconstant Neumann boundary condition by applying the maximum principle to suitable subharmonic functions and integral identities.</p></div>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Overdetermined problems with a nonconstant Neumann boundary condition in a warped product manifold\",\"authors\":\"Jihye Lee , Keomkyo Seo\",\"doi\":\"10.1016/j.na.2024.113603\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We obtain Serrin-type theorems of the solution to overdetermined problems in a warped product manifold with a nonconstant Neumann boundary condition by applying the maximum principle to suitable subharmonic functions and integral identities.</p></div>\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2024-07-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0362546X24001226\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0362546X24001226","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Overdetermined problems with a nonconstant Neumann boundary condition in a warped product manifold
We obtain Serrin-type theorems of the solution to overdetermined problems in a warped product manifold with a nonconstant Neumann boundary condition by applying the maximum principle to suitable subharmonic functions and integral identities.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.