On the isoperimetric problem with respect to a mixed Euclidean-Gaussian density

Fusco N, Maggi F, Pratelli A (2011)

Publication Language: English

Publication Status: Published

Publication Type: Journal article

Publication year: 2011

Journal

Journal of Functional Analysis Elsevier

Publisher: Elsevier

Book Volume: 260

Pages Range: 3678-3717

Journal Issue: 12

DOI: 10.1016/j.jfa.2011.01.007

Abstract

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.

Authors with CRIS profile

Aldo Pratelli Lehrstuhl für Analysis

Involved external institutions

Università degli Studi di Napoli Federico II IT Italy (IT) Università degli Studi di Firenze / University of Florence IT Italy (IT)

How to cite

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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