A note on a global invertibility of mappings on Rⁿ

2015/03/05 by Marek Galewski, Galewski, Marek
Mathematics · #57R50 #58E05 #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1503.01809

openalex publication_date 2015/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide sufficient conditions for a mapping f:Rⁿ→ Rⁿ 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.

Related

• A note on a global invertibility of locally lipschitz functions on Rⁿ
• Conformal geometry, Euler numbers, and global invertibility in higher dimensions
• Invertibility of quasiconformal operators
• Foliations and Global Inversion
• Global inversion of nonsmooth mappings on Finsler manifolds