Entire solutions to equivariant elliptic systems with variational structure

Details Entire solutions to equivariant elliptic systems with variational structure Entire solutions to equivariant elliptic systems with variational structure

2008-11-03

arxiv.org/abs/0811.0106v2

Mathematics

Analysis of PDEs

28 pages, 2 figures; major revision

Scientific paper

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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