11 citations · 22 across the 14 of their papers we have counts for
4 papers · 1 filter
Multyphase solutions to the vector Allen-Cahn equation: Crystalline and other complex symmetric structures
Peter W. Bates, Giorgio Fusco, Panayotis Smyrnelis
We present a systematic study of entire symmetric solutions of the vector Allen-Cahn equation , where is smooth,…
On the asymptotic behavior of symmetric solutions of the Allen-Cahn equation in unbounded domains in
Giorgio Fusco, Francesco Leonetti, Cristina Pignotti
We consider a Dirichlet problem for the Allen-Cahn equation in a smooth, bounded or unbounded, domain Under suitable assumptions, we prove an existence result…
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.
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.