重温Schoen-Uhlenbeck正则性定理

Revisit the regularity theory of Schoen-Uhlenbeck

Schoen和Uhlenbeck创立的能量极小化调和映射的正则性理论是一项奠基性成果,本文对其主要结果给出了证明.这里的证明更直接且更符合直觉,还可以应用到一些其他相关的几何变分问题.

In this article,we give proofs of main results of the fundamental work of Schoen and Uhlenbeck on the regularity of energy minimizing harmonic maps.The current proofs may be more direct and intuitive,and can be applied for other related geometric variational problems as well.