We consider the isoperimetric problem in Rn with density for the planar case n=2. We show that, if the density is C0,α, then the boundary of any isoperimetric is of class C1,α3−2α. This improves the previously known regularity.
CINTI E, PRATELLI A (2017). Regularity of isoperimetric sets in R2 with density. MATHEMATISCHE ANNALEN, 368(1-2), 419-432 [10.1007/s00208-016-1409-y].
Regularity of isoperimetric sets in R2 with density
CINTI, ELEONORA;
2017
Abstract
We consider the isoperimetric problem in Rn with density for the planar case n=2. We show that, if the density is C0,α, then the boundary of any isoperimetric is of class C1,α3−2α. This improves the previously known regularity.File in questo prodotto:
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