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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 C\'esar Rosales (Universidad de Granada). |
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