Entire solutions to equivariant elliptic systems with variational structure
Abstract
In the present paper we consider the system u - Wu (u) = 0, where u: Rn to Rn, for a class of potentials W: Rn 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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