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arXiv · 0906.1256

Some isoperimetric problems in planes with density

Antonio Cañete·Michele Miranda Jr.·Davide Vittone
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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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Antonio Cañete, Michele Miranda Jr., Davide Vittone. 2009-06-08. Some isoperimetric problems in planes with density. https://arxiv.org/abs/0906.1256

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