25 research outputs found
Publisher Correction: Discovery of rare variants associated with blood pressure regulation through meta-analysis of 1.3 million individuals
Get PDFExistence of Isoperimetric Sets with Densities \u201cConverging from Below\u201d on
Get PDFIn this paper, we consider the isoperimetric problem in the space RN with a density. Our result states that, if the density f is lower semi-continuous and converges to a limit a> 0 at infinity, with f 64 a far from the origin, then isoperimetric sets exist for all volumes. Several known results or counterexamples show that the present result is essentially sharp. The special case of our result for radial and increasing densities positively answers a conjecture of Morgan and Pratelli (Ann Glob Anal Geom 43(4):331\u2013365, 2013. \ua9 2016, Mathematica Josephina, Inc
On the Phase Connectedness of the Volume-Constrained Area Minimizing Partitioning Problem
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Convexity at infinity in Cartan–Hadamard manifolds and applications to the asymptotic Dirichlet and Plateau problems
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Rigidity for the isoperimetric inequality of negative effective dimension on weighted Riemannian manifolds
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