2026-07-28T14:33:00Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/334762025-02-11T17:13:28Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Jaramillo Aguado, Jesús Ángel
author
Madiedo Castro, Óscar Reynaldo
author
Sánchez González, Luis
2023-06-19T13:23:15Z
2023-06-19T13:23:15Z
2013
0944-6532
https://hdl.handle.net/20.500.14352/33476
http://www.heldermann-verlag.de/jca/jca20/jca1225_b.pdf
http://www.heldermann-verlag.de/http://arxiv.org/pdf/1201.4666v1.pdf
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.
eng
Global inversion of nonsmooth mappings on Finsler manifolds
journal article
URL
https://docta.ucm.es/bitstreams/6f4c6ada-04ec-459e-9998-3125f8beeae2/download
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Jaramillo202libre.pdf
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Jaramillo202oficial.pdf
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Jaramillo202oficial.pdf.txt