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MR2887626 35K51 (35B35 35B40 35D30 35J92 35K65 35K92)
Leone, C.; Misawa, M.; Verde, A. A global existence result for the heat flow of higher dimensional $H$-systems. J. Math. Pures Appl. (9) 97 (2012), no. 3, 282–294.
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