Calculus of Variations and Geometric Measure Theory
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N. Fusco - F. Maggi - A. Pratelli

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


Published Paper

Inserted: 28 oct 2010
Last Updated: 16 feb 2015

Journal: Journal of Functional Analysis
Year: 2010


The isoperimetric problem with respect to the product-type density $e^{-
^2/2}\,dx\,dy$ 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.


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