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Sharp lower bounds for vector Allen-Cahn energy and qualitative properties of minimizes under no symmetry hypotheses
Nicholas D. Alikakos, Giorgio Fusco
We study vector minimizers u of the Allen-Cahn functional with potentials possessing N global minima defined on bounded domains, with certain geometrical features and Dirichlet con…
math.AP2021
Minimizing under relaxed symmetry constraints: Triple and -junctions
Giorgio Fusco
We consider a nonnegative potential invariant under the action of the rotation group of the regular polygon with sides, . W…