We consider variational problems involving nonlocal free energy functionals that arise from Gibbs measures with Kac potentials and are related to the characterization of the optimal (i.e., typical) shape of an interface under given constraints on the magnetization profile.
Bellettini, G., Cassandro, M., Presutti, E. (1996). Constrained minima for non local functionals. JOURNAL OF STATISTICAL PHYSICS, 84(5-6), 1337-1349 [10.1007/BF02174133].
Constrained minima for non local functionals
Bellettini, Giovanni;
1996-01-01
Abstract
We consider variational problems involving nonlocal free energy functionals that arise from Gibbs measures with Kac potentials and are related to the characterization of the optimal (i.e., typical) shape of an interface under given constraints on the magnetization profile.
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https://hdl.handle.net/11365/1017440