50 citations · 67 across the 6 of their papers we have counts for
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math-ph2012★ 3 cited
Uniqueness results for critical points of a non-local isoperimetric problem via curve shortening
Dorian Goldman
Using area-preserving curve shortening flow, and a new inequality relating the potential generated by a set to its curvature, we study a non-local isoperimetric problem which arise…
math-ph2012★ 50 cited
The -limit of the two-dimensional Ohta-Kawasaki energy. I. Droplet density
Dorian Goldman, Cyrill B. Muratov, Sylvia Serfaty
This is the first in a series of two papers in which we derive a -expansion for a two-dimensional non-local Ginzburg-Landau energy with Coulomb repulsion, also known as the Ohta…