Sub- and supergradients of envelopes, semicontinuous closures, and limits of sequences of functions

DOI10.1070/RM2012v067n02ABEH004789zbMath1248.49019OpenAlexW2059696208MaRDI QIDQ2903295

Jay S. Treiman, Yuri S. Ledyaev

Publication date: 8 August 2012

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2012v067n02abeh004789

zbMATH Keywords

nonsmooth analysisnonlinear functional analysisgeneralizations of theorems of Jung, Helly, and Stegallupper and lower envelopes

Mathematics Subject Classification ID

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

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