The horizontal lamella is a local minimizer of the anisotropic Ohta-Kawasaki energy under uniform ellipticity and an isolated local minimizer when the Wulff shape has horizontal facets, with some global minimality results in the planar case.
Stability of lamellar configurations in a nonlocal sharp interface model
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Local and global minimality of the lamella for the anisotropic Ohta-Kawasaki energy
The horizontal lamella is a local minimizer of the anisotropic Ohta-Kawasaki energy under uniform ellipticity and an isolated local minimizer when the Wulff shape has horizontal facets, with some global minimality results in the planar case.