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On the existence of a global diffeomorphism between Fréchet spaces
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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