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.
Regularity of isoperimetric sets in R2 with density / CINTI E; PRATELLI A. - In: MATHEMATISCHE ANNALEN. - ISSN 0025-5831. - STAMPA. - 368:1-2(2017), pp. 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:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
