We consider an isoperimetric problem for product measures with respect to the uniform enlargement of sets. As an example, we find (asymptotically) extremal sets for the infinite product of the exponential measure.
@article{bwmeta1.element.bwnjournal-article-smv123i1p81bwm,
author = {S. Bobkov},
title = {Isoperimetric problem for uniform enlargement},
journal = {Studia Mathematica},
volume = {122},
year = {1997},
pages = {81-95},
zbl = {0873.60003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv123i1p81bwm}
}
Bobkov, S. Isoperimetric problem for uniform enlargement. Studia Mathematica, Tome 122 (1997) pp. 81-95. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv123i1p81bwm/
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