On a conjecture by Auerbach

DOI10.4171/JEMS/290zbMath1227.49047OpenAlexW2082953965WikidataQ123115269 ScholiaQ123115269MaRDI QIDQ645353

Nicola Fusco, Aldo Pratelli

Publication date: 14 November 2011

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jems/290

zbMATH Keywords

minimal areamin-max problemsoptimal convex setszindler sets

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10)

Related Items (5)

Bisecting envelopes of convex polygons ⋮ Two dimensions are easier ⋮ On the Minimization of Area Among Chord-Convex Sets ⋮ Trisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameter ⋮ The longest shortest fence and sharp Poincaré-Sobolev inequalities

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• The Maximal Length of Chords Bisecting the Area Or Perimeter Length of Plane Convex Sets
• Über Zindlerkurven.
• Sur un problème de M. Ulam concernant l'équilibre des corps flottants

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