{"title":"关于 Nagumo-Brezis 定理的一般化","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":0,"journal":{"name":"","volume":"11 16","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":0,\"journal\":{\"name\":\"\",\"volume\":\"11 16\",\"pages\":\"\"},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-06-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"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\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","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":"","JCRName":"","Score":null,"Total":0}
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.
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