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Sub- and supergradients of envelopes, semicontinuous closures, and limits of sequences of functions. (English. Russian original) Zbl 1248.49019

Russ. Math. Surv. 67, No. 2, 345-373 (2012); translation from Usp. Mat. Nauk 67, No. 2, 157-186 (2012).

MSC:

49J52 Nonsmooth analysis
49J45 Methods involving semicontinuity and convergence; relaxation
49Q20 Variational problems in a geometric measure-theoretic setting
52A35 Helly-type theorems and geometric transversal theory
58C20 Differentiation theory (Gateaux, Fréchet, etc.) on manifolds
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