{"title":"A multiplicity theorem for Fréchet spaces","authors":"K. Eftekharinasab","doi":"10.15407/dopovidi2022.05.010","DOIUrl":null,"url":null,"abstract":"This note serves to announce a multiplicity result for Keller C1c -functionals on Fréchet spaces which are invariant under the action of a discrete subgroup. For such functionals, we evaluate the minimal number of critical points by applying the Lyusternik—Schnirelmann category.","PeriodicalId":20898,"journal":{"name":"Reports of the National Academy of Sciences of Ukraine","volume":"15 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Reports of the National Academy of Sciences of Ukraine","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15407/dopovidi2022.05.010","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
This note serves to announce a multiplicity result for Keller C1c -functionals on Fréchet spaces which are invariant under the action of a discrete subgroup. For such functionals, we evaluate the minimal number of critical points by applying the Lyusternik—Schnirelmann category.
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