Abstract
In this note we give, for any open subset in $\R^n$, a function describing the boundary of this set with exact regularity and being, globally, as regular as possible.
Citation
J. M. Burgués. "Defining functions for open sets in Rn.." Real Anal. Exchange 31 (1) 45 - 54, 2005-2006.
Information
Published: 2005-2006
First available in Project Euclid: 5 June 2006
zbMATH: 1108.26020
MathSciNet: MR2218187
Subjects:
Primary:
26E99
Secondary:
58C05
Keywords:
defining function
,
differentiable function
,
non regular
Rights: Copyright © 2005 Michigan State University Press
