SOME BASIC FACTS ON THE SYSTEM Delta u - W-u(u) = 0

作者：Alikakos Nicholas D^*

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139(1): 153-162.

DOI：10.1090/S0002-9939-2010-10453-7

We rewrite the system Delta u - W-u(u) = 0, for u : R-n -> 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.

• 出版日期2011-1