{"title":"On a generalization of the Nagumo–Brezis theorem","authors":"K. Eftekharinasab, Ruslana Horidko","doi":"10.12697/acutm.2024.28.03","DOIUrl":null,"url":null,"abstract":"We generalize the Nagumo–Brezis theorem to the category of MCk-Fréchet manifolds. Then we will apply the obtained result to locate a critical value of a real-valued mapping over these manifolds.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta et Commentationes Universitatis Tartuensis de Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12697/acutm.2024.28.03","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We generalize the Nagumo–Brezis theorem to the category of MCk-Fréchet manifolds. Then we will apply the obtained result to locate a critical value of a real-valued mapping over these manifolds.