Some basic facts on the system Δu - W_u (u) = 0
arXiv:0909.4392 · doi:10.1090/S0002-9939-2010-10453-7
Abstract
We rewrite the system Δu - W_u (u) = 0, for u: R^n to R^n, in the form div T = 0, where T is an appropriate stress-energy tensor, and derive certain a priori consequences on the solutions. In particular, we point out some differences between two paradigms: the phase-transition system, with target a finite set of points, and the Ginzburg-Landau system, with target a connected manifold.
10 pages; minor revision