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math.AP2014
Density estimates for vector minimizers and applications
Nicholas D. Alikakos, Giorgio Fusco
We extend the Caffarelli-Cordoba estimates to the vector case in two ways, one of which has no scalar counterpart, and we give a few applications for minimal solutions.
math.AP2014
Asymptotic behavior and rigidity results for symmetric solutions of the elliptic system
Nicholas D. Alikakos, Giorgio Fusco
We study symmetric vector minimizers of the Allen-Cahn energy and establish various results concerning their structure and their asymptotic behavior.