Mathematics – Differential Geometry
Scientific paper
2010-12-02
Mathematics
Differential Geometry
29 pages
Scientific paper
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 $r^{p},\; p<0$.
Díaz Alexander
Harman Nate
Howe Sean
Thompson David
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