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- Title
Existence of isoperimetric regions in $${\mathbb{R}^{n}}$$ with density.
- Authors
Morgan, Frank; Pratelli, Aldo
- Abstract
We prove the existence of isoperimetric regions in $${\mathbb{R}^{n}}$$ with density under various hypotheses on the growth of the density. Along the way, we prove results on the boundedness of isoperimetric regions.
- Subjects
EXISTENCE theorems; MATHEMATICAL proofs; SET theory; ISOPERIMETRIC inequalities; MATHEMATICAL analysis; HYPOTHESIS
- Publication
Annals of Global Analysis & Geometry, 2013, Vol 43, Issue 4, p331
- ISSN
0232-704X
- Publication type
Article
- DOI
10.1007/s10455-012-9348-7