We study the isoperimetric problem in Euclidean space endowed with a density. We first consider piecewise constant densities and examine particular cases related to the characteristic functions of half-planes, strips and balls. We also consider continuous modification of Gauss density in R^2. Finally, we give a list of related open questions.

Some Isoperimetric Problems in Planes with Density

VITTONE, DAVIDE
2010

Abstract

We study the isoperimetric problem in Euclidean space endowed with a density. We first consider piecewise constant densities and examine particular cases related to the characteristic functions of half-planes, strips and balls. We also consider continuous modification of Gauss density in R^2. Finally, we give a list of related open questions.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11577/2428588
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