Calculus of Variations and Geometric Measure Theory

Isoperimetric Problems Between Analysis and Geometry

Stable hypersurfaces in Euclidean convex cones with homogeneous densities

Antonio Cañete (Universidad Granada)

created by paolini on 02 Jun 2014
modified on 13 Jun 2014

20 jun 2014 -- 09:30   [open in google calendar]

Abstract.

Given a manifold M, we can consider a density, which is just a positive function weighting volume and perimeter functionals on M. In this talk we shall focus on convex Euclidean solid cones endowed with homogeneous densities (these densities have a nice behavior with dilations), classifying the compact stable hypersurfaces in this setting. This is part of a joint work with César Rosales (Universidad de Granada).