- 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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