Abstract
We provide sufficient conditions for existence of a global diffeomorphism between tame Fréchet spaces. We prove a version of the mountain pass theorem which plays a key ingredient in the proof of the main theorem.
Key words: The Nash-Moser inverse function theorem, Mountain Pass Theorem,
Ekeland's variational principle
Full Text
Article Information
| Title | On the existence of a global diffeomorphism between Fréchet spaces |
| Source | Methods Funct. Anal. Topology, Vol. 26 (2020), no. 1, 68-75 |
| DOI | 10.31392/MFAT-npu26_1.2020.05 |
| MathSciNet |
MR4113582 |
| Milestones | Received 23/04/2018; Revised 16/12/2019 |
| Copyright | The Author(s) 2020 (CC BY-SA) |
Authors Information
Kaveh Eftekharinasab
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs’ka str., Kyiv, 01601, Ukraine
Citation Example
Kaveh Eftekharinasab, On the existence of a global diffeomorphism between Fréchet spaces, Methods Funct. Anal. Topology 26
(2020), no. 1, 68-75.
BibTex
@article {MFAT1289,
AUTHOR = {Kaveh Eftekharinasab},
TITLE = {On the existence of a global diffeomorphism between Fréchet spaces},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {26},
YEAR = {2020},
NUMBER = {1},
PAGES = {68-75},
ISSN = {1029-3531},
MRNUMBER = {MR4113582},
DOI = {10.31392/MFAT-npu26_1.2020.05},
URL = {http://mfat.imath.kiev.ua/article/?id=1289},
}
