1 citations · 2 across the 4 of their papers we have counts for
4 papers
Some isoperimetric inequalities on with respect to weights
A. Alvino, F. Brock, F. Chiacchio +2
We solve a class of isoperimetric problems on with respect to weights that are powers of the distance to the origin. For instance we show that if , then…
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…
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 . In the case of the measure defined by , , we prove that, among all sets…
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…