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Artículo
The isoperimetric problem in complete annuli of revolution with increasing Gauss curvature
(Cambridge University Press, 2008)
In this work we describe the isoperimetric regions in complete symmetric annuli of revolution with Gauss curvature non-decreasing from the shortest parallel. This description allows us to complete the classification of ...
Artículo
On the isoperimetric problem in Euclidean space with density
(Springer, 2008)
We study the isoperimetric problemfor 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 ...