On a global implicit function theorem for locally Lipschitz maps via nonsmooth critical point theory

2017/04/13 by Galewski, M., Rădulescu, M.
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1704.04280

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.

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