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Existence of isoperimetric regions in $\R^n$ with density

Functional Analysis 2011-11-23 v1 Analysis of PDEs
Authors: Frank Morgan , Aldo Pratelli
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Abstract

We prove the existence of isoperimetric regions in Rn\R^n with density under various hypotheses on the growth of the density. Along the way we prove results on the boundedness of isoperimetric regions.

Keywords

isoperimetric regions density boundedness existence

Cite

@article{arxiv.1111.5160,
  title  = {Existence of isoperimetric regions in $\R^n$ with density},
  author = {Frank Morgan and Aldo Pratelli},
  journal= {arXiv preprint arXiv:1111.5160},
  year   = {2011}
}

Comments

31 pages, 4 figures

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