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

Autor: Galewski, Marek, Repovš, Dušan
Rok vydání: 2018
Předmět:
Zdroj: Electron. J. Differential Equations Conf. 25 (2018), 87-102
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv