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MR2448648 (2010m:35191) 35K15 (35K55 53C44)
Lin, Tai-Chia; Poon, Chi-Cheung; Tsai, Dong-Ho Expanding convex immersed closed plane curves. Calc. Var. Partial Differential Equations 34 (2009), no. 2, 153–178.
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