Abstract
In this paper we will examine a class of fully nonlinear partial differential equations which are invariant under the conformal group S O ( n + 1 , 1 ) SO(n+1,1) . These equations are elliptic and variational. Using this structure and the conformal invariance, we will prove a global uniqueness theorem for solutions in R n \mathbf {R}^n with a quadratic growth condition at infinity.
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