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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 ...
Artículo
Stable and Isoperimetric Regions in Rotationally Symmetric Tori with Decreasing Gauss Curvature
(Indiana University Mathematics Department, 2007)
In this work we classify the stable regions (second order minima of perimeter under an area constraint) in tori of revolution with piecewise continuous decreasing Gauss curvature from the longest parallel and with a ...