Approaching the isoperimetric problem in Hᵐ꜀ via the hyperbolic log-convex density conjecture
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Date
2024
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Journal Article
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Abstract
We prove that geodesic balls centered at some base point are uniquely isoperimetric sets in the real hyperbolic space H^n_R endowed with a smooth, radial, strictly log-convex density on the volume and perimeter. This is an analogue of the result by G. R. Chambers for log-convex densities on R^n. As an application we prove that in any rank one symmetric space of non-compact type, geodesic balls are uniquely isoperimetric in a class of sets enjoying a suitable notion of radial symmetry.
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published
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63 (1)
Pages / Article No.
11
Publisher
Springer
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03500 - Lang, Urs / Lang, Urs
00012 - Lehre und Forschung
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721675 - Regularity and Stability in Partial Differential Equations (EC)
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Is new version of: http://hdl.handle.net/20.500.11850/594248