On the domain of the implicit function and applications

<p/> <p>The implicit function theorem asserts that there exists a ball of nonzero radius within which one can express a certain subset of variables, in a system of equations, as functions of the remaining variables. We derive a lower bound for the radius of this ball in the case of Lipsc...

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Bibliographic Details
Main Author: Papi Marco
Format: Article
Language:English
Published: SpringerOpen 2005-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2005/373250