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Harmonic maps between noncompact manifolds. (English) Zbl 1362.58012

Summary: We describe the problem of finding a harmonic map between noncompact manifold. Given some sufficient conditions on the domain, the target and the initial map, we prove the existence of a harmonic map that deforms the given map.

MSC:

58J35 Heat and other parabolic equation methods for PDEs on manifolds

References:

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