Stability and constant boundary-value problems of harmonic maps with potential
2000 ◽
Vol 68
(2)
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pp. 145-154
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Keyword(s):
AbstractLet M, N be Riemannian manifolds, f: M → N a harmonic map with potential H, namely, a smooth critical point of the functional EH(f) = ∫M[e(f)−H(f)], where e(f) is the energy density of f. Some results concerning the stability of these maps between spheres and any Riemannian manifold are given. For a general class of M, this paper also gives a result on the constant boundary-value problem which generalizes the result of Karcher-Wood even in the case of the usual harmonic maps. It can also be applied to the static Landau-Lifshitz equations.
2005 ◽
Vol 16
(09)
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pp. 1017-1031
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2016 ◽
Vol 18
(06)
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pp. 1550076
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1994 ◽
Vol 36
(1)
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pp. 77-80
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2003 ◽
Vol 475
◽
pp. 303-331
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Keyword(s):
2017 ◽
Vol 14
(07)
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pp. 1750098
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2019 ◽
Vol 43
(3)
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pp. 2733-2743