# On the isoperimetric problem with respect to a mixed Euclidean-Gaussian density

created by maggi on 28 Oct 2010
modified by pratelli on 16 Feb 2015

[BibTeX]

Published Paper

Inserted: 28 oct 2010
Last Updated: 16 feb 2015

Journal: Journal of Functional Analysis
Year: 2010

Abstract:

The isoperimetric problem with respect to the product-type density $e^{- x ^2/2}\,dx\,dy$ on the Euclidean space $\mathbf{R}^h\times\mathbf{R}^k$ is studied, with a characterization of isoperimetric sets in the case $k=1$. A conjecture about the minimality of large cylinders in the case $k>1$ is also formulated.