A criterion of invertibility in the large for local diffeomorphisms between Banach spaces

DOI10.1016/0362-546X(93)90176-SzbMath0827.46039MaRDI QIDQ4275588

Gianluca Gorni

Publication date: 17 December 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

directional derivativeboundary pointseverywhere invertible derivative

Mathematics Subject Classification ID

Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (7)

Global inversion of functions: An introduction ⋮ Local homeo- and diffeomorphisms: invertibility and convex image ⋮ The basin of attraction method for a kind of nonlinear elliptic equations ⋮ Global homeomorphism and applications to the existence and uniqueness of solutions of some differential equations ⋮ Criteria for the global invertibility of \(C^{1}\) functions between Banach spaces ⋮ Diffeomorphisms with Banach space domains ⋮ An application of a global inversion theorem to an existence and uniqueness theorem for a class of nonlinear systems of differential equations

Cites Work

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• Finding domains of invertibility for smooth functions by means of attraction basins
• Inversion of smooth mappings
• Locally one-to-one mappings and a classical theorem on schlicht functions

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