Isoperimetric problems in sectors with density
Alexander Díaz, Nate Harman, Sean Howe, David Thompson · Advances in Geometry · 2012
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 the solutions as a function of the sector angle. We also solve the isoperimetric problem in ℝ n with density r p , p < 0