{"title":"The Discrete $$L_p$$ Minkowski Problem for Log-Concave Functions in $${\\mathbb {R}}$$","authors":"Niufa Fang","doi":"10.1007/s12220-024-01739-x","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we study the necessary and sufficient conditions for the existence of solutions to the discrete <span>\\(L_p\\)</span> Minkowski problem of log-concave functions in <span>\\({\\mathbb {R}}\\)</span> when <span>\\(p\\ge 1\\)</span>.</p>","PeriodicalId":501200,"journal":{"name":"The Journal of Geometric Analysis","volume":"16 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Journal of Geometric Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s12220-024-01739-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we study the necessary and sufficient conditions for the existence of solutions to the discrete \(L_p\) Minkowski problem of log-concave functions in \({\mathbb {R}}\) when \(p\ge 1\).