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MR1950293 (2003i:58027) 58E11 (53C21 58J50)
El Soufi, Ahmad; Ilias, Saïd Extremal metrics for the first eigenvalue of the Laplacian in a conformal class. Proc. Amer. Math. Soc. 131 (2003), no. 5, 1611–1618 (electronic).
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