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).http://cvgmt.sns.it/seminar/404/
