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Isoperimetric problems in sectors with density
-
Alexander Díaz
,
Nate Harman
Published/Copyright:
December 11, 2012
Abstract
We consider the isoperimetric problem in planar sectors with density rp, and with density a > 1 inside the unit disk and 1 outside. We characterize the solutions as a function of the sector angle. We also solve the isoperimetric problem in ℝn with density rp, p < 0
Published Online: 2012-12-11
Published in Print: 2012-10
© 2012 by Walter de Gruyter GmbH & Co.
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Articles in the same Issue
- Masthead
- Barycenters in Alexandrov spaces of curvature bounded below
- Isoperimetric problems in sectors with density
- Around A. D. Alexandrov’s uniqueness theorem for convex polytopes
- A relative isoperimetric inequality for certain warped product spaces
- Markov’s inequality in the o-minimal structure of convergent generalized power series
- Minimal area conics in the elliptic plane
- Geometry of semi-tube domains in ℂ2
- Flag transitive c:F4(2)-geometries
- Majorana representations of L3(2)
- A characterization of multiple (n – k)-blocking sets in projective spaces of square order
