Fusco N, Maggi F, Pratelli A (2011)
Publication Language: English
Publication Status: Published
Publication Type: Journal article
Publication year: 2011
Publisher: Elsevier
Book Volume: 260
Pages Range: 3678-3717
Journal Issue: 12
DOI: 10.1016/j.jfa.2011.01.007
The isoperimetric problem with respect to the product-type density e-vertical bar x vertical bar/2 dx dy on the Euclidean space R(h) x R(k) is studied. In particular, existence, symmetry and regularity of minimizers is proved. In the special case k = 1, also the shape of all the minimizers is derived. Finally, a conjecture about the minimality of large cylinders in the case k > 1 is formulated. (C) 2011 Elsevier Inc. All rights reserved.
APA:
Fusco, N., Maggi, F., & Pratelli, A. (2011). On the isoperimetric problem with respect to a mixed Euclidean-Gaussian density. Journal of Functional Analysis, 260(12), 3678-3717. https://dx.doi.org/10.1016/j.jfa.2011.01.007
MLA:
Fusco, Nicola, Francesco Maggi, and Aldo Pratelli. "On the isoperimetric problem with respect to a mixed Euclidean-Gaussian density." Journal of Functional Analysis 260.12 (2011): 3678-3717.
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