39 citations · 43 across the 4 of their papers we have counts for
4 papers
Mass-capacity inequalities for conformally flat manifolds with boundary
Alexandre Freire, Fernando Schwartz
In this paper we prove a mass-capacity inequality and a volumetric Penrose inequality for conformally flat manifolds, in arbitrary dimensions. As a by-product of the proofs, Pólya-…
Mean Curvature Motion of Triple Junctions of Graphs in Two Dimensions
Alex Freire
We consider a system of three surfaces, graphs over a bounded domain in , intersecting along a time-dependent curve and moving by mean curvature while preserving the…
The existence problem for Steiner networks in strictly convex domains
Alex Freire
We consider the existence problem for `Steiner networks' (trivalent graphs with 120 degree angles at each junction) in strictly convex domains, with `Neumann' boundary conditions (…
Mean Curvature Motion of Graphs with Constant Contact Angle and Moving Boundaries
Alex Freire
We consider the motion by mean curvature of an -dimensional graph over a time-dependent domain in , intersecting at a constant angle. In the general…