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

2014/02/20 by Nicholas D. Alikakos, Alikakos, Nicholas D., Giorgio Fusco +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Contact Mechanics and Variational Inequalities #Nonlinear Partial Differential Equations #math.AP #msc:35J20 #msc:35J47 #msc:35J50

paper · pdf · doi:10.48550/arxiv.1402.5085

24 pages

arxiv created 2014/03/10 · arxiv updated 2014/03/11

Abstract

We study symmetric vector minimizers of the Allen-Cahn energy and establish various results concerning their structure and their asymptotic behavior.

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