3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.AP2014
Asymptotics of non-minimizing stationary points of the Ohta-Kawasaki energy and its sharp interface version
Dorian Goldman
We study a non-local Cahn-Hilliard energy arising in the study of di-block copolymer melts, often referred to as the Ohta-Kawasaki energy in that context. In this model, two phases…
math.AP2014
On the regularity of stationary points of a nonlocal isoperimetric problem
Dorian Goldman, Alexander Volkmann
In this article we establish -regularity of the reduced boundary of stationary points of a nonlocal isoperimetric problem in a domain . In particula…
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…