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Distance toCkhypersurfaces

Authors
Journal
Journal of Differential Equations
0022-0396
Publisher
Elsevier
Publication Date
Volume
40
Issue
1
Identifiers
DOI: 10.1016/0022-0396(81)90013-9

Abstract

Abstract It is shown by elementary means that a C k hypersurface M of positive reach in R n + 1 has the property that the signed distance function to it is C k , k ⩾ 1. This extends and complements work of Federer, Gilbarg and Trudinger, and Serrin.

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