Título:
|
Global inversion of nonsmooth mappings on Finsler manifolds
|
Autores:
|
Jaramillo Aguado, Jesús Ángel ;
Madiedo, Oscar ;
Sánchez González, Luis
|
Tipo de documento:
|
texto impreso
|
Editorial:
|
Heldermann Verlag, 2013
|
Dimensiones:
|
application/pdf
|
Nota general:
|
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/embargoedAccess
|
Idiomas:
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Matemáticas: Análisis matemático
,
Tipo = Artículo
|
Resumen:
|
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.
|
En línea:
|
https://eprints.ucm.es/id/eprint/24701/1/Jaramillo202libre.pdf
|