# Isoperimetric problem for uniform enlargement

Studia Mathematica (1997)

- Volume: 123, Issue: 1, page 81-95
- ISSN: 0039-3223

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topBobkov, S.. "Isoperimetric problem for uniform enlargement." Studia Mathematica 123.1 (1997): 81-95. <http://eudml.org/doc/216380>.

@article{Bobkov1997,

abstract = {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.},

author = {Bobkov, S.},

journal = {Studia Mathematica},

keywords = {isoperimetric inequalities; uniform enlargement; isoperimetric problem for product measures},

language = {eng},

number = {1},

pages = {81-95},

title = {Isoperimetric problem for uniform enlargement},

url = {http://eudml.org/doc/216380},

volume = {123},

year = {1997},

}

TY - JOUR

AU - Bobkov, S.

TI - Isoperimetric problem for uniform enlargement

JO - Studia Mathematica

PY - 1997

VL - 123

IS - 1

SP - 81

EP - 95

AB - 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.

LA - eng

KW - isoperimetric inequalities; uniform enlargement; isoperimetric problem for product measures

UR - http://eudml.org/doc/216380

ER -

## References

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- [Sch] E. Schmidt, Die Brunn-Minkowskische Ungleichung und ihr Spiegelbild sowie die isoperimetrische Eigenschaft der Kugel in der euklidischen und nichteuklidischen Geometrie I, II, Math. Nachr. 1 (1948), 81-157; 2 (1949), 171-244.
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