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math.AP2024
The nonlocal Almgren problem
Emanuel Indrei
In the nonlocal Almgren problem, the goal is to investigate the convexity of a minimizer under a mass constraint via a nonlocal free energy generated with some nonlocal perimeter a…
math.AP2024
On the three-dimensional shape of a crystal
Emanuel Indrei, Aram Karakhanyan
In this paper we completely settle the Almgren problem in under some generic conditions on the potential and tension functions. The problem, among other things, appea…