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MR2647128 (2011g:53141) 53C44 (35B40 35K55 35K93)
Cabezas-Rivas, Esther; Sinestrari, Carlo Volume-preserving flow by powers of the $m$th mean curvature. Calc. Var. Partial Differential Equations 38 (2010), no. 3-4, 441–469.
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