M. Posteraro

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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.FA2016

Some isoperimetric inequalities on $R^{N}$ with respect to weights $∣ x ∣^{α}$

A. Alvino, F. Brock, F. Chiacchio +2

We solve a class of isoperimetric problems on $R^{N}$ with respect to weights that are powers of the distance to the origin. For instance we show that if $k \in [0, 1]$ , then…

math.FA2015★ 1 cited

Remark on the stability of Log-Sobolev inequality for Gaussian measure

Filomena Feo, Maria Rosaria Posteraro, Cyril Roberto

In this note we bound the deficit in the logarithmic Sobolev Inequality and in the Talagrand transport-entropy Inequality for the Gaussian measure, in any dimension, by mean of a d…

math.FA2011

Logarithmic Sobolev Trace Inequalities

F. Feo, M. R. Posteraro

We prove a logarithmic Sobolev trace inequality in a gaussian space and we study the trace operator in the weighted Sobolev space W^{1,p}(Ω,γ) for sufficiently regular domain. We e…

Some isoperimetric inequalities on RN with respect to weights ∣x∣α

Remark on the stability of Log-Sobolev inequality for Gaussian measure

Logarithmic Sobolev Trace Inequalities

Some isoperimetric inequalities on $R^{N}$ with respect to weights $∣ x ∣^{α}$