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

• Nicholas D. Alikakos ^[1] ; Giorgio Fusco ^[2]
  1. [1] University of Athensk, Athens, Greece. Department of Mathematics
  2. [2] Università de L’Aquila, L’Aquila, Italia.
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 15, Nº Extra 1 (Special volume), 2016, págs. 809-836
• Idioma: inglés
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• Resumen

  • 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.