Some isoperimetric problems in planes with density
We study the isoperimetric problem in Euclidean space endowed with a density. We first consider piecewise constant densities and examine particular cases related to the characteristic functions of half-planes, strips and balls. We also consider continuous modification of Gauss density in ℝ2. Finally...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/89832 |
| Acceso en línea: | https://hdl.handle.net/11441/89832 https://doi.org/10.1007/s12220-009-9109-4 |
| Access Level: | acceso abierto |
| Palabra clave: | Manifolds with density Isoperimetric problem |
| Sumario: | We study the isoperimetric problem in Euclidean space endowed with a density. We first consider piecewise constant densities and examine particular cases related to the characteristic functions of half-planes, strips and balls. We also consider continuous modification of Gauss density in ℝ2. Finally, we give a list of related open questions. |
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