A note on a global invertibility of mappings on $R^{n}$

Marek Galewski

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arXiv · 1503.01809

A note on a global invertibility of mappings on $R^{n}$

Marek Galewski

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Abstract

We provide sufficient conditions for a mapping $f:R^{n}\rightarrow R^{n}$ to be a global diffeomorphism in case it is strictly (Hadamard) differentiable. We use classical local invertibility conditions together with the non-smooth critical point theory.

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BibTeX RIS

Marek Galewski. 2015-03-05. A note on a global invertibility of mappings on $R^{n}$. https://arxiv.org/abs/1503.01809

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