We show that the unique isoperimetric regions in Rn with density rp for n ≥ 3 and p > 0 are balls with boundary through the origin.
@article{bwmeta1.element.doi-10_1515_agms-2016-0009, author = {Wyatt Boyer and Bryan Brown and Gregory R. Chambers and Alyssa Loving and Sarah Tammen}, title = {Isoperimetric Regions in Rnwith Density rp}, journal = {Analysis and Geometry in Metric Spaces}, volume = {4}, year = {2016}, zbl = {1350.49060}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_agms-2016-0009} }
Wyatt Boyer; Bryan Brown; Gregory R. Chambers; Alyssa Loving; Sarah Tammen. Isoperimetric Regions in Rnwith Density rp. Analysis and Geometry in Metric Spaces, Tome 4 (2016) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_agms-2016-0009/