On a global implicit function theorem for locally Lipschitz maps via non-smooth critical point theory

DOI10.2989/16073606.2017.1391353zbMath1393.26012arXiv1704.04280OpenAlexW2963008031MaRDI QIDQ3177640

Marius Rădulescu, Marek Galewski

Publication date: 1 August 2018

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.04280

zbMATH Keywords

mountain pass theoremlocally Lipschitz functionglobal implicit functionnon-smooth global inversion theorem

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Implicit function theorems, Jacobians, transformations with several variables (26B10) Implicit function theorems; global Newton methods on manifolds (58C15)

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A global inversion theorem for functions with singular points ⋮ Dynamics of market making algorithms in dealer markets: Learning and tacit collusion ⋮ Asymptotic stabilization of a system of coupled \(n\)th-order differential equations with potentially unbounded high-frequency oscillating perturbations ⋮ Dynamic equilibrium of market making with price competition ⋮ On nonsmooth global implicit function theorems for locally Lipschitz functions from Banach spaces to Euclidean spaces

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