On uniqueness of solutions of $n$-th order differential equations in conformal geometry
Sun‐Yung A. Chang, Paul C.-P. Yang · Mathematical Research Letters · 1997
In this paper, we prove an uniqueness theorem for a n-th order elliptic equation on the standard n-sphere Sn. The problem arises naturally from the point of view of conformal geometry. The method we use is the method of moving planes originated in Alexandrov [A] and Gidas-Ni-Nirenberg [G-N-N].