Alexander Díaz, Nate Harman, Sean Howe, David Thompson
Published 2010-12-02Version 1
We consider the isoperimetric problem in planar sectors with density $r^{p}$, and with density $a>1$ inside the unit disk and $1$ outside. We characterize solutions as a function of sector angle. We also solve the isoperimetric problem in $\mathbb{R}^{n}$ with density $r^{p},\; p<0$.
The isoperimetric problem for regular and crystalline norms in $\mathbb H^1$
Isoperimetric problem and structure at infinity on Alexandrov spaces with nonnegative curvature
Regularity of solutions of the isoperimetric problem that are close to a smooth manifold
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