2026-07-28T08:58:45Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/334762025-02-11T17:13:28Zcom_20.500.14352_14col_20.500.14352_15

Global inversion of nonsmooth mappings on Finsler manifolds Jaramillo Aguado, Jesús Ángel Madiedo Castro, Óscar Reynaldo Sánchez González, Luis 517 Global inversion generalized differential Finsler manifolds Análisis matemático 1202 Análisis y Análisis Funcional We consider the problem of finding sufficient conditions for a locally Lipschitz mapping between Finsler manifolds to be a global homeomorphism. For this purpose, we develop the notion of Clarke generalized differential in this context and, using this, we obtain a version of the Hadamard integral condition for invertibility. As consequences, we deduce some global inversion and global injectivity results for Lipschitz mappings on R-n in terms of spectral conditions of its Clarke generalized differential. MICINN (Spain) Fundacion Cajamadrid Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas Instituto de Matemática Interdisciplinar (IMI) TRUE pub 2023-06-19T13:23:15Z 2023-06-19T13:23:15Z 2013 journal article https://hdl.handle.net/20.500.14352/33476 0944-6532 eng BES2010-031192 MTM2009-07848 MEC AP2007-00868 open access application/pdf application/pdf Heldermann Verlag