Global invertibility of mappings between Banach spaces and applications to nonlinear equations
Functional Analysis
2018-09-17 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1809.05312,
title = {Global invertibility of mappings between Banach spaces and applications to nonlinear equations},
author = {Marek Galewski and Dušan Repovš},
journal= {arXiv preprint arXiv:1809.05312},
year = {2018}
}