Artículo
Compact stable hypersurfaces with free boundary in convex solid cones with homogeneous densities
Autor/es | Cañete Martín, Antonio Jesús
Rosales, César |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2014 |
Fecha de depósito | 2019-10-22 |
Publicado en |
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Resumen | We consider a smooth Euclidean solid cone endowed with a smooth homogeneous
density function used to weight Euclidean volume and hypersurface area.
By assuming convexity of the cone and a curvature-dimension condition, ... We consider a smooth Euclidean solid cone endowed with a smooth homogeneous density function used to weight Euclidean volume and hypersurface area. By assuming convexity of the cone and a curvature-dimension condition, we prove that the unique compact, orientable, second order minima of the weighted area under variations preserving the weighted volume and with free boundary in the boundary of the cone are intersections with the cone of round spheres centered at the vertex. |
Identificador del proyecto | MTM2010-21206-C02-01
FQM-325 P09-FQM-5088 |
Cita | Cañete Martín, A.J. y Rosales, C. (2014). Compact stable hypersurfaces with free boundary in convex solid cones with homogeneous densities. Calculus of Variations and Partial Differential Equations, 51 (3-4), 887-913. |
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