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In the present paper, we revisit a famous theorem by Candel that wegeneralize by proving that given a compact lamination by hyperbolic surfaces,every negative function smooth inside the leaves and transversally continuousis the curvature function of a unique laminated metric in the correspondingconformal class. We give an interpretation of this result as a continuityresult about the solutions of some elliptic PDEs in the so calledCheeger-Gromov topology on the space of complete pointed riemannian manifolds.

Prescription de courbure des feuilles des laminations: retour sur un th\'eor\`eme de Candel