On the elliptic equation $\Delta u+K(x)e^{2u}=0$ on $B^2$.

In this paper we consider the existence problem for the elliptic equation $ \Delta u+K(x)e^{2u}=0$ on $B^2=\{x \in R^2 \mid |x|<1\}$, which arises in the study of conformal deformation of the hyperbolic disc. We prove an existence result for the above equation. [ABSTRACT FROM AUTHOR]