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On regularity estimates for mappings between embedded manifolds. (English) Zbl 1168.49036

Summary: We describe a class of metric spaces such that for set-valued mappings into such spaces it is possible to give a precise expression of regularity moduli in terms of slopes of DeGiorgi-Marino-Tosques. We also show that smooth manifolds in Banach spaces endowed with the induced metric belong to this class.

MSC:

49N60 Regularity of solutions in optimal control
49J53 Set-valued and variational analysis
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