RT Journal Article
T1 Global inversion of nonsmooth mappings on Finsler manifolds
A1 Jaramillo Aguado, Jesús Ángel
A1 Madiedo Castro, Óscar Reynaldo
A1 Sánchez González, Luis
AB 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.
PB Heldermann Verlag
SN 0944-6532
YR 2013
FD 2013
LK https://hdl.handle.net/20.500.14352/33476
UL https://hdl.handle.net/20.500.14352/33476
LA eng
NO MICINN (Spain)
NO Fundacion Cajamadrid
DS Docta Complutense
RD 11 abr 2025