Acta Mathematica Hungarica
Volume/Issue:
Volume 113: Issue 1-2
A note on Buczolich's solution of the Weil gradient problem: a construction based on an infinite game
Authors:
Jan Malý J. E. Purkyně University, Faculty of Science, Department of Mathematics České mládeže 8, 400 96 Ústí nad Labem, Czech Republic České mládeže 8, 400 96 Ústí nad Labem, Czech Republic

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and
Miroslav Zelený Charles University, Faculty of Mathematics and Physics Sokolovská 83, 186 75, Praha 8, Czech Republic Sokolovská 83, 186 75, Praha 8, Czech Republic

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Pages:
145–158
Online Publication Date:
04 Oct 2006
Publication Date:
04 Oct 2006
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-006-0096-7
Keywords:
Denjoy--Clarkson property; infinite game; Martin theorem; gradient
Restricted access

Summary  

Using an infinite game approach we reprove Buczolich's result that there exists a differentiable function f such that ∇f(0) = 0 and |∇ f |≧1 a.e.

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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