Accessible Requires Authentication Published by De Gruyter December 11, 2012

Isoperimetric problems in sectors with density

Alexander Díaz, Nate Harman, Sean Howe and David Thompson
From the journal Advances in Geometry

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

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