Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024804 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 15 Pages |
Abstract
We consider isoperimetric problem with a nonlocal repulsive term given by the Newtonian potential. We prove that regular critical sets of the functional are analytic. This optimal regularity holds also for critical sets of the Ohta-Kawasaki functional. We also prove that when the strength of the nonlocal part is small the ball is the only possible stable critical set.
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Authors
Vesa Julin,