Entire Solutions to Equivariant Elliptic Systems with Variational Structure |
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Authors: | Nicholas D Alikakos Giorgio Fusco |
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Institution: | 1.Department of Mathematics,University of Athens,Athens,Greece;2.Dipartimento di Matematica Pura ed Applicata,Università degli Studi dell’Aquila,L’Aquila,Italy |
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Abstract: | We consider the system Δu ? W u (u) = 0, where \({u : \mathbb{R}^n \to \mathbb{R}^n}\) , for a class of potentials \({W : \mathbb{R}^n \to \mathbb{R}}\) that possess several global minima and are invariant under a general finite reflection group G. We establish existence of nontrivial G-equivariant entire solutions connecting the global minima of W along certain directions at infinity. |
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