M. Posteraro

activity

20112019

most citedOn isoperimetric inequalities with respect to infinite measures

1 citations · 2 across the 4 of their papers we have counts for

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math.AP2019

Some isoperimetric inequalities with respect to monomial weights

Angelo Alvino, Friedemann Brock, Francesco Chiacchio +2

We solve a class of isoperimetric problems on $R_{+}^{2} := {(x, y) \in R^{2} : y > 0}$ with respect to monomial weights. Let $α$ and $β$ be real numbers suc…

math.AP2018

The isoperimetric problem for a class of non-radial weights and applications

Angelo Alvino, Friedemann Brock, Francesco Chiacchio +2

We study a class of isoperimetric problems on $R_{+}^{N}$ where the densities of the weighted volume and weighted perimeter are given by two different non-radial function…

math.AP2018

On weighted isoperimetric inequalities with non-radial densities

Angelo Alvino, Friedemann Brock, Francesco Chiacchio +2

We consider a class of isoperimetric problems on $R_{+}^{N}$ where the volume and the area element carry two different weights of the type $∣ x ∣^{l} x_{N}^{α}$ . We solve them in…

math.AP2011★ 1 cited

On isoperimetric inequalities with respect to infinite measures

F. Brock, A. Mercaldo, M. R. Posteraro

We study isoperimetric problems with respect to infinite measures on $R^{n}$ . In the case of the measure $μ$ defined by $d μ = e^{c ∣ x ∣^{2}} d x$ , $c \geq 0$ , we prove that, among all sets…