LIOUVILLE TYPE THEOREM FOR p-HARMONIC MAPS II
نویسندگان
چکیده
منابع مشابه
A Liouville theorem for harmonic maps and
A Liouville theorem is proved which generalizes the papers of Hu, MP].
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Recently there has been much interest in the Liouville type theorems for harmonic maps. For a detailed survey and progress in this direction, see the works by Hildebrandt [4], Eells and Lemaire [2]. Here we would like to mention that for all known results, the conditions on the harmonic maps can be divided into two kinds. The first of these conditions concerns the finiteness of the energy of th...
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For n ≥ 3, let Ω ⊂ R be a bounded smooth domain and N ⊂ R be a compact smooth Riemannian submanifold without boundary. Suppose that {un} ⊂ W (Ω, N) are weak solutions to the perturbed n-harmonic map equation (1.2), satisfying (1.3), and uk → u weakly in W (Ω, N). Then u is an n-harmonic map. In particular, the space of n-harmonic maps is sequentially compact for the weak-W 1,n topology. §
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ژورنال
عنوان ژورنال: Communications of the Korean Mathematical Society
سال: 2014
ISSN: 1225-1763
DOI: 10.4134/ckms.2014.29.1.155