{"title":"A remark on the Hölder regularity of solutions to the complex Hessian equation","authors":"Slawomir Kolodziej, Ngoc Cuong Nguyen","doi":"arxiv-2407.13130","DOIUrl":null,"url":null,"abstract":"We prove that the Dirichlet problem for the complex Hessian equation has the\nH\\\"older continuous solution provided it has a subsolution with this property.\nCompared to the previous result of Benali-Zeriahi and Charabati-Zeriahi we\nremove the assumption on the finite total mass of the measure on the right hand\nside.","PeriodicalId":501142,"journal":{"name":"arXiv - MATH - Complex Variables","volume":"36 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Complex Variables","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.13130","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
We prove that the Dirichlet problem for the complex Hessian equation has the
H\"older continuous solution provided it has a subsolution with this property.
Compared to the previous result of Benali-Zeriahi and Charabati-Zeriahi we
remove the assumption on the finite total mass of the measure on the right hand
side.
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