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- W2022962790 abstract "In this article, we study harmonic maps between two complete noncompact manifolds M and N by a heat flow method. We find some new sufficient conditions for the uniform convergence of the heat flow, and hence the existence of harmonic maps.<br> Our condition are: The Ricci curvature of M is bounded from below by a negative constant, M admits a positive Green’s function and <p align=center> $ int_M G(x, y)|tau(h(y))|dV_y $ is bounded on each compact subset. $qquad$ (1) <p align=left class=times> Here $tau(h(x))$ is the tension field of the initial data $h(x)$.<br> Condition (1) is somewhat sharp as is shown by examples in the paper." @default.
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- W2022962790 title "Harmonic maps on complete manifolds" @default.
- W2022962790 doi "https://doi.org/10.3934/dcds.1999.5.799" @default.
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