Entire solutions to equivariant elliptic systems with variational structure
Alikakos, Nicholas D. · Fusco, Giorgio
Original · EN
In the present paper we consider the system Δu - 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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