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Existence of isoperimetric regions in ℝ with density

Annals of Global Analysis and Geometry, ISSN: 0232-704X, Vol: 43, Issue: 4, Page: 331-365
2013
  • 49
    Citations
  • 0
    Usage
  • 4
    Captures
  • 0
    Mentions
  • 0
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Metrics Details

  • Citations
    49
    • Citation Indexes
      49
  • Captures
    4

Article Description

We prove the existence of isoperimetric regions in ℝ with density under various hypotheses on the growth of the density. Along the way, we prove results on the boundedness of isoperimetric regions. © 2012 Springer Science+Business Media B.V.

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