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MR911088 (88j:35054) 35J60 (58G30)
Cheng, Kuo-Shung; Lin, Jenn-Tsann On the elliptic equations $\Delta u=K(x)u\sp \sigma$ and $\Delta u=K(x)e\sp {2u}$. Trans. Amer. Math. Soc. 304 (1987), no. 2, 639–668.
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