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In this note, we remark on a 2001 paper of S. Goyal and V. Goyal. The main result of this work is that they used some elementary method to find a class of functions K(x) = K(x 1 , x 2 , x 3 ) for which the solutions to Au + K(x)e 2u = 1 on S 2 can be obtained. We observe that this class of functions that they studied is actually the trivial one, i.e. the class of positive constant functions.

Remark on ``A problem of prescribing Gaussian curvature on $S^2$" [\text{Proc. Amer. Math. Soc. 129 (2001), n\lowercase{o}. 12, 3757--3758}]