A C¹-function that is even on a sphere and has no critical points in the ball

Title: A C¹-function that is even on a sphere and has no critical points in the ball
Creator: Borwein, J. M.; Kortezov, I.; Wiersma, H.
Relation: Journal of Nonlinear and Convex Analysis Vol. 3, Issue 1, p. 1-16
Relation: http://www.ybook.co.jp/online2/jncav3-1.html
Publisher: Yokohama Publishers
Resource Type: journal article
Date: 2002
Description: In this article we construct a real valued C¹-function on the closed ball in ℝ² that is even on the boundary of the ball, and has no critical points inside the ball. This provides a counterexample to a nonsmooth Rolle-type theorem sought in [BF].
Subject: Rolle's theorem; mean value inequalities; duality inequalities; nonsmooth analysis; Clarke subdifferential
Identifier: http://hdl.handle.net/1959.13/940762
Identifier: uon:13082
Identifier: ISSN:1345-4773
Language: eng
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