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

M. Galewski; M. Rădulescu

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arXiv · 1704.04280

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

M. Galewski·M. Rădulescu

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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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BibTeX RIS

M. Galewski, M. Rădulescu. 2017-04-13. On a global implicit function theorem for locally Lipschitz maps via nonsmooth critical point theory. https://arxiv.org/abs/1704.04280

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