scholarly journals Regularity of thep-harmonic maps with potential

2008 ◽  
Vol 237 (1) ◽  
pp. 45-56 ◽  
Author(s):  
Yu-Ming Chu ◽  
Xian-Gao Liu
Keyword(s):  
Harmonic Maps ◽  
Harmonic Maps With Potential

Stability and constant boundary-value problems of harmonic maps with potential

2000 ◽  
Vol 68 (2) ◽  
pp. 145-154 ◽  
Author(s):  
Qun Chen
Keyword(s):  
Riemannian Manifold ◽  
Energy Density ◽  
Boundary Value Problem ◽  
Riemannian Manifolds ◽  
General Class ◽  
Harmonic Maps ◽  
Harmonic Map ◽  
Boundary Value ◽  
The Stability ◽  
Harmonic Maps With Potential

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.

scholarly journals Monotonicity formulae and Liouville theorems of harmonic maps with potential

2012 ◽  
Vol 62 (9) ◽  
pp. 1939-1948 ◽  
Author(s):  
Hezi Lin ◽  
Guilin Yang ◽  
Yibin Ren ◽  
Tian Chong
Keyword(s):  
Harmonic Maps ◽  
Liouville Theorems ◽  
Harmonic Maps With Potential

scholarly journals On the bi-harmonic maps with potential

2018 ◽  
Vol 24 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Ahmed Mohammed Cherif ◽  
Mustapha Djaa
Keyword(s):  
Harmonic Maps ◽  
Harmonic Maps With Potential
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