Entire solutions to equivariant elliptic systems with variational structure
نویسندگان
چکیده
In the present paper we consider the system ∆u−Wu(u) = 0, where u : R → R, for a class of potentials W : R → 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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تاریخ انتشار 2008