{"title":"奥尔利茨-明科夫斯基式 p 能力问题的流程","authors":"Li Sheng , Jin Yang","doi":"10.1016/j.aam.2024.102674","DOIUrl":null,"url":null,"abstract":"<div><p>This article concerns the Orlicz-Minkowski problem for <span><math><mi>p</mi></math></span>-capacity for <span><math><mn>1</mn><mo><</mo><mi>p</mi><mo><</mo><mi>n</mi></math></span>. We use the flow method to obtain a new existence result of solutions to this problem by an approximation argument for general measures.</p></div>","PeriodicalId":50877,"journal":{"name":"Advances in Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A flow to the Orlicz-Minkowski-type problem of p-capacity\",\"authors\":\"Li Sheng , Jin Yang\",\"doi\":\"10.1016/j.aam.2024.102674\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This article concerns the Orlicz-Minkowski problem for <span><math><mi>p</mi></math></span>-capacity for <span><math><mn>1</mn><mo><</mo><mi>p</mi><mo><</mo><mi>n</mi></math></span>. We use the flow method to obtain a new existence result of solutions to this problem by an approximation argument for general measures.</p></div>\",\"PeriodicalId\":50877,\"journal\":{\"name\":\"Advances in Applied Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2024-02-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Applied Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0196885824000058\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Applied Mathematics","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0196885824000058","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
摘要
本文涉及1<p<n的奥尔利茨-闵科夫斯基问题（Orlicz-Minkowski problem for p-capacity）。我们使用流方法，通过对一般度量的近似论证，得到了该问题解的新存在性结果。
A flow to the Orlicz-Minkowski-type problem of p-capacity
This article concerns the Orlicz-Minkowski problem for -capacity for . We use the flow method to obtain a new existence result of solutions to this problem by an approximation argument for general measures.
期刊介绍：
Interdisciplinary in its coverage, Advances in Applied Mathematics is dedicated to the publication of original and survey articles on rigorous methods and results in applied mathematics. The journal features articles on discrete mathematics, discrete probability theory, theoretical statistics, mathematical biology and bioinformatics, applied commutative algebra and algebraic geometry, convexity theory, experimental mathematics, theoretical computer science, and other areas.
Emphasizing papers that represent a substantial mathematical advance in their field, the journal is an excellent source of current information for mathematicians, computer scientists, applied mathematicians, physicists, statisticians, and biologists. Over the past ten years, Advances in Applied Mathematics has published research papers written by many of the foremost mathematicians of our time.
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