We consider the isoperimetric problem in R2with density. We show that, if the density is C0,α, then the boundary of any isoperimetric set is of class C1,α3-2α. This improves the previously known regularity.
Regularity of isoperimetric sets in ℝ² with density
Pratelli, A.
2017-01-01
Abstract
We consider the isoperimetric problem in R2with density. We show that, if the density is C0,α, then the boundary of any isoperimetric set is of class C1,α3-2α. This improves the previously known regularity.File in questo prodotto:
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