A nonlocal isoperimetric problem with density perimeter
نویسندگان
چکیده
منابع مشابه
On the Isoperimetric Problem in Euclidean Space with Density
We study the isoperimetric problem for Euclidean space endowedwith a continuous density. In dimension one, we characterize isoperimetric regions for a unimodal density. In higher dimensions, we prove existence results and we derive stability conditions, which lead to the conjecture that for a radial log-convex density, balls about the origin are isoperimetric regions. Finally, we prove this con...
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2020
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-020-01865-8