Some basic facts on the system $\Delta u - W_{u} (u) = 0$
نویسندگان
چکیده
منابع مشابه
SOME BASIC FACTS ON THE SYSTEM ∆u − Wu(u) = 0
We rewrite the system ∆u − Wu(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.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2011
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-2010-10453-7