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arXiv · 0811.0106

Entire solutions to equivariant elliptic systems with variational structure

Nicholas D. Alikakos·Giorgio Fusco
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Abstract

In the present paper we consider the system {\Delta}u - W_u (u) = 0, where u: R^n to R^n, for a class of potentials W: R^n to R that possess several global minima and are invariant under a general finite reflection group G. We establish existence of nontrivial entire solutions connecting the global minima of W along certain directions at infinity.

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Nicholas D. Alikakos, Giorgio Fusco. 2008-11-03. Entire solutions to equivariant elliptic systems with variational structure. https://arxiv.org/abs/0811.0106

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