Entire solutions to equivariant elliptic systems with variational structure
Analysis of PDEs
2011-05-25 v2
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.
Cite
@article{arxiv.0811.0106,
title = {Entire solutions to equivariant elliptic systems with variational structure},
author = {Nicholas D. Alikakos and Giorgio Fusco},
journal= {arXiv preprint arXiv:0811.0106},
year = {2011}
}
Comments
28 pages, 2 figures; major revision