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

DOI10.2422/2036-2145.201402_005zbMath1442.35110arXiv1402.5085OpenAlexW2963037919MaRDI QIDQ2807119

Giorgio Fusco, Nicholas D. Alikakos

Publication date: 19 May 2016

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5085

zbMATH Keywords

Allen-Cahn equation

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Variational methods for second-order elliptic equations (35J20) Second-order elliptic systems (35J47)

Related Items (7)

Solutions of multi-component fractional symmetric systems ⋮ Entire minimizers of Allen-Cahn systems with sub-quadratic potentials ⋮ Symmetry and asymmetry of components for elliptic Gross-Pitaevskii system ⋮ On some elementary properties of vector minimizers of the Allen-Cahn energy ⋮ Monotonicity and rigidity of solutions to some elliptic systems with uniform limits ⋮ On the asymptotic behavior of symmetric solutions of the Allen-Cahn equation in unbounded domains in \(\mathbb{R}^2\) ⋮ Stable solutions of symmetric systems involving hypoelliptic operators

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