Isoperimetric problems in sectors with density
نویسندگان
چکیده
منابع مشابه
Isoperimetric Problems in Sectors with Density
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 solutions as a function of sector angle. We provide a general symmetrization theorem, and apply it to Rn with radial density.
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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 solutions as a function of sector angle. We provide a very general symmetrization theorem, and apply it to Rn with radial density.
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ژورنال
عنوان ژورنال: Advances in Geometry
سال: 2012
ISSN: 1615-7168,1615-715X
DOI: 10.1515/advgeom-2012-0009