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arXiv · 1809.05312

Global invertibility of mappings between Banach spaces and applications to nonlinear equations

Marek Galewski·Dušan Repovš
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Abstract

We provide sufficient conditions for a mapping between two Banach spaces to be a diffeomorphism using the approach of an auxiliary functional and also by the aid of a duality mapping corresponding to a normalization function. We simplify and generalize our previous results. Applications to algebraic equations and to integro-differential systems are also given.

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Marek Galewski, Dušan Repovš. 2018-09-14. Global invertibility of mappings between Banach spaces and applications to nonlinear equations. https://arxiv.org/abs/1809.05312

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