Isoperimetric inequalities in cylinders with density

Castro, Katherine

doi:10.1016/j.na.2021.112726

1-s2.0-S0362546X21002935-main.pdf (694.6Kb)

Identificadores

URI: http://hdl.handle.net/10481/72281

DOI: 10.1016/j.na.2021.112726

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Editorial

Elsevier

Materia

Existence of isoperimetric regions

Manifolds with density

Preserving isometries

Cocompactly

Cylinders with density

Fecha

2022-04

Referencia bibliográfica

K. Castro. Isoperimetric inequalities in cylinders with density. Nonlinear Analysis 217 (2022) 112726. [https://doi.org/10.1016/j.na.2021.112726]

Patrocinador

CBUA; Junta de Andalucía, Spain; MEC-Feder MTM2017-84851-C2-1-P, PID2020-118180GB-I00; MICINN-FEDER MTM2010-21206-C02-01, MTM2013-48371-C2-1-P; Universidad de Granada; Junta de Andalucía A-FQM-441-UGR18, P20-00164

Resumen

Given a compact Riemannian manifold with density M without boundary and the real line R with constant density, we prove that isoperimetric regions of large volume in M×R with the product density are slabs of the form M×[a,b]. We previously prove, as a necessary step, the existence of isoperimetric regions in any manifold of density where a subgroup of the group of transformations preserving weighted perimeter and volume acts cocompactly.

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DGT - Artículos

Excepto si se señala otra cosa, la licencia del ítem se describe como Atribución 3.0 España