带自由边界的调和映射存在性

The Existence of Hamonic Maps with Free Boundaries

本文研究带自由边界的调和映射的存在性.用Sack-Uhlenbeck的挠动Morse理论及Micallef和Moore的Morse指标的估计方法,我们得到了从圆盘到Riemann流形的带自由边界的调和映射的存在性.

We study the existence of hamonic maps with free boundaries from disk into Riemannian manifolds. By using the perturbation technique of Sacks-Uhlenbeck, and the estimate of morse index of hamonic maps, we obtain some existence results.