{"title":"On the existence of a global diffeomorphism between Fréchet spaces","authors":"K. Eftekharinasab","doi":"10.31392/MFAT-npu26_1.2020.05","DOIUrl":null,"url":null,"abstract":"We provide sufficient conditions for the existence of a global diffeomorphism between tame Fr\\'echet spaces. We prove a version of Mountain Pass theorem which plays a key ingredient in the proof of the main theorem.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":" ","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2018-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Methods of Functional Analysis and Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31392/MFAT-npu26_1.2020.05","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: 3
Abstract
We provide sufficient conditions for the existence of a global diffeomorphism between tame Fr\'echet spaces. We prove a version of Mountain Pass theorem which plays a key ingredient in the proof of the main theorem.
期刊介绍：
Methods of Functional Analysis and Topology (MFAT), founded in 1995, is a peer-reviewed arXiv overlay journal publishing original articles and surveys on general methods and techniques of functional analysis and topology with a special emphasis on applications to modern mathematical physics.
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