ON THE MAXIMIZATION OF A CLASS OF FUNCTIONALS ON CONVEX REGIONS, AND THE CHARACTERIZATION OF THE FARTHEST CONVEX SET

This article considers a family of functionals J to be maximized over the planar convex sets K for which the perimeter and Steiner point have been fixed. Assuming that J is the integral of a positive quadratic expression in the support function h and its derivative, the maximizer is always either a...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Mathematika 2010-07, Vol.56 (2), p.245-265
Hauptverfasser:	Harrell II, Evans M., Henrot, Antoine
Format:	Artikel
Sprache:	eng
Schlagworte:	49Q10 (secondary) 52A10 52A40 (primary) 52B60 Mathematics Metric Geometry
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!