On the existence of a global diffeomorphism between Fréchet spaces

Authors

  • K. Eftekharinasab Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs’ka str., Kyiv, 01601, Ukraine

DOI:

https://doi.org/https://doi.org/10.31392/MFAT-npu26_1.2020.05

Keywords:

The Nash-Moser inverse function theorem, Mountain Pass Theorem, Ekeland's variational principle

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.

Downloads

Published

2020-03-25

Issue

Vol. 26 No. 1 (2020)

Section

Articles

How to Cite

Eftekharinasab, K. “On the Existence of a Global Diffeomorphism Between Fréchet Spaces”. Methods of Functional Analysis and Topology, vol. 26, no. 1, Mar. 2020, pp. 68-75, https://doi.org/https://doi.org/10.31392/MFAT-npu26_1.2020.05.