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

Autor:	Galewski, M., Dušan Repovš
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Mathematics - Functional Analysis udc:517.9 Mathematics - Analysis of PDEs global diffeomorphism FOS: Mathematics 57R50 58E05 algebraic equation integro-differential system local diffeomorphism Functional Analysis (math.FA) Analysis of PDEs (math.AP)
Zdroj:	Proceedings of the international conference Two nonlinear days in Urbino 2017, Università degli Studi di Urbino "Carlo Bo", Italy, July 6-7, 2017, Electronic journal of differential equations, pp. 87-102, 2018. Scopus-Elsevier
ISSN:	1072-6691
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:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::26e8607525334732d84cdbb1dc1fe173 https://hdl.handle.net/20.500.12556/RUL-109068 Zobrazit plný text záznamu