Harmonic maps with potential

被引：1
|
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.
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页码：183 / 197
页数：14
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