Local inversion of a class of piecewise regular maps

DOI10.3934/CPAA.2018105zbMath1396.26017OpenAlexW2801729823WikidataQ129845569 ScholiaQ129845569MaRDI QIDQ1660049

Laura Poggiolini, Marco Spadini

Publication date: 23 August 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2018105

zbMATH Keywords

degree theorypiecewise linear mapsBouligand derivativepiecewise \(C^1\) maps

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Implicit function theorems, Jacobians, transformations with several variables (26B10) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (1)

Estimates of the topological degree of a class of piecewise linear maps with applications

Cites Work

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• Introduction to Piecewise Differentiable Equations
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• Strong Local Optimality for a Bang-Bang Trajectory in a Mayer Problem
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• Fixed point theory and nonlinear problems
• Sufficient Optimality Conditions for a Bang-bang Trajectory in a Bolza Problem
• Piecewise Smoothness, Local Invertibility, and Parametric Analysis of Normal Maps
• Local Inversion of Planar Maps with Nice Nondifferentiability Structure

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