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The precise asymptotic behaviour of the solutions to the twodimensionalcurvature equation $\Delta u=k(z) e^{2 u}$ with $e^{2 u} \in L^1$ for boundednonnegative curvature functions $-k(z)$ near isolated singularities isobtained.

On the isolated singularities of the solutions of the Gaussian curvature equation for nonnegative curvature