Calculus of Variations and Geometric Measure Theory

A nonlocal isoperimetric problem with density perimeter

Ihsan Topaloglu (Virginia Commonwealth University)

created by pinamonti on 13 Feb 2021

16 feb 2021 -- 14:30   [open in google calendar]

Zoom seminar

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In this talk I will present recent results on a variant of Gamow's liquid drop model where we consider the mass-constrained minimization of an energy functional given as the sum of a density perimeter term and a nonlocal interaction term of Riesz type. In particular, I will show that for a wide class of density functions this energy admits a minimizer for any choice of parameters, and that for monomial densities the unique minimizer is given by the ball of fixed volume when the nonlocal effects are sufficiently small. This is a joint work with S. Alama, L. Bronsard, and A. Zuniga.