Abstract
In this paper we prove the existence of global weak solutions of the p-harmonic flow with potential between Riemannian manifolds M and N for arbitrary initial data having finite p-energy in the case when the target N is a homogeneous space with a left invariant metric.
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Project supportedpa rtially by STDF of Shanghai and NSF of China
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Liu, X.G., Li, S.H. The p-Harmonic Heat Flow with Potential into Homogeneous Spaces. Acta Math Sinica 18, 21–26 (2002). https://doi.org/10.1007/s101140000042
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DOI: https://doi.org/10.1007/s101140000042