Resumen de Asymptotic behavior and rigidity results for symmetric solutions of the elliptic system Δu = W_u(u)

Nicholas D. Alikakos, Giorgio Fusco

• We study symmetric vector minimizers of the Allen-Cahn energy J (u) = R ⇣ 12 |ru|2 + W(u) ⌘ dx and establish various results concerning their structure and their asymptotic behavior in unbounded domains.