On a global implicit function theorem for locally Lipschitz maps via nonsmooth critical point theory
Classical Analysis and ODEs
2017-04-17 v1
Abstract
We prove a non-smooth generalization of the global implicit function theorem. More precisely we use the non-smooth local implicit function theorem and the non-smooth critical point theory in order to prove a non-smooth global implicit function theorem for locally Lipschitz functions. A comparison between several global inversion theorems is discussed.
Cite
@article{arxiv.1704.04280,
title = {On a global implicit function theorem for locally Lipschitz maps via nonsmooth critical point theory},
author = {M. Galewski and M. Rădulescu},
journal= {arXiv preprint arXiv:1704.04280},
year = {2017}
}