Harmonic maps with potential

被引：0

作者：

Ali Fardoun

Andrea Ratto

机构：

[1] University of Brest,Department of Mathematics

[2] Unical,Dipartimento di Matematica

来源：

Calculus of Variations and Partial Differential Equations | 1997年 / 5卷

关键词：

58E20; 49A10; 35J20; Harmonic maps; the Landau-Lifshitz equation; the Neumann motion;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let (M,g) and (N,h) be two Riemannian manifolds, and G : N → ℝ a given function. If f : M → N is a smooth map, we set EG(f)=1/2 ∫M[|df|2 − 2G(f)]dvg. We establish some variational properties and some existence results for the functional EG(f): in particular, we analyse the case of maps into a sphere.

引用

页码：183 / 197

页数：14

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