A note on a global invertibility of mappings onRn

DOI10.2989/16073606.2015.1121933zbMath1422.57076arXiv1503.01809OpenAlexW1555423985MaRDI QIDQ5236022

Marek Galewski

Publication date: 15 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.01809

zbMATH Keywords

non-smooth critical point theorymountain pass lemmalocal diffeomorphisminverse functionglobal diffeomorphism

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Differential topological aspects of diffeomorphisms (57R50)

Related Items (1)

New inverse and implicit function theorems for differentiable maps with isolated critical points

Cites Work

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• The implicit function theorem for continuous functions
• Mountain pass theorems and global homeomorphism theorems
• A note on a diffeomorphism between two Banach spaces
• On the Diffeomorphisms Between Banach and Hilbert Spaces
• Local inversion for differentiable functions and the Darboux property
• Local inversion theorems without assuming continuous differentiability

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