RT Journal Article
T1 Surjection and inversion for locally Lipschitz maps between Banach spaces
A1 Gutú, Olivia
A1 Jaramillo Aguado, Jesús Ángel
AB We study the global invertibility of non-smooth, locally Lipschitz maps between infinite-dimensional Banach spaces, using a kind of Palais-Smale condition. To this end, we consider the Chang version of the weighted Palais-Smale condition for locally Lipschitz functionals in terms of the Clarke subdifferential, as well as the notion of pseudo-Jacobians in the infinite-dimensional setting, which are the analog of the pseudo-Jacobian matrices defined by Jeyakumar and Luc. Using these notions, we derive our results about existence and uniqueness of solution for nonlinear equations. In particular, we give a version of the classical Hadamard integral condition for global invertibility in this context.
PB Elsevier
SN 0022-247X
YR 2019
FD 2019-10-15
LK https://hdl.handle.net/20.500.14352/12888
UL https://hdl.handle.net/20.500.14352/12888
LA eng
NO MICINN
DS Docta Complutense
RD 9 abr 2025