We consider the isoperimetric problem on a cartesian product of Euclidean spaces endowed with an Euclidean-Gaussian product-type density. We characterize isoperimetric sets when the "Gaussian factor" of this product is one-dimensional, and provide some general properties of isoperimetric sets and some conjectures in the general case.
On the isoperimetric problem with respect to a mixed Euclidean-Gaussian density / N. Fusco; F. Maggi; A. Pratelli. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - STAMPA. - 260:(2011), pp. 3678-3717. [10.1016/j.jfa.2011.01.007]
On the isoperimetric problem with respect to a mixed Euclidean-Gaussian density
MAGGI, FRANCESCO;
2011
Abstract
We consider the isoperimetric problem on a cartesian product of Euclidean spaces endowed with an Euclidean-Gaussian product-type density. We characterize isoperimetric sets when the "Gaussian factor" of this product is one-dimensional, and provide some general properties of isoperimetric sets and some conjectures in the general case.
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