18 citations · 92 across the 40 of their papers we have counts for
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math.AP2016★ 1 cited
On the optimality of stripes in a variational model with non-local interactions
Michael Goldman, Eris Runa
We study pattern formation for a variational model displaying competition between a local term penalizing interfaces and a non-local term favoring oscillations. By means of a --…
math.AP2016★ 10 cited
On minimizers of an isoperimetric problem with long-range interactions under a convexity constraint
Michael Goldman, Matteo Novaga, Berardo Ruffini
We study a variational problem modeling the behavior at equilibrium of charged liquid drops under convexity constraint. After proving well-posedness of the model, we show C 1,1-reg…