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math.FA2012
The property, the boundedness of isoperimetric sets in with density, and some applications
Eleonora Cinti, Aldo Pratelli
We show that every isoperimetric set in R^N with density is bounded if the density is continuous and bounded by above and below. This improves the previously known boundedness resu…
math.AP2012★ 1 cited
Sharp energy estimates for nonlinear fractional diffusion equations
Xavier Cabre, Eleonora Cinti
We study the nonlinear fractional equation in , for all fractions and all nonlinearities . For every fractional power , we o…