A characterization of \(C^ 1\)-convex sets in Sobolev spaces

DOI10.1007/BF02567083zbMath0766.46014OpenAlexW2084115433MaRDI QIDQ1197366

Enrico Vitali, Gianni Dal Maso, Anneliese Defranceschi

Publication date: 16 January 1993

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155722

zbMATH Keywords

Sobolev spaces\(C^ 1\)-convex

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (2)

Limits of minimum problems with convex ⋮ Necessary and sufficient conditions for the interchange between infimum and the symbol of integration

Cites Work

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• Parametrization of Carathéodory multifunctions
• Wiener's criterion and \(\Gamma\)-convergence
• Integral representation of convex functions on a space of measures
• Gamma-limits of obstacles
• Integrals, conditional expectations, and martingales of multivalued functions
• Integral representation for a class of \(C^ 1\)-convex functionals
• Convergence of convex sets and of solutions of variational inequalities
• Problèmes variationnels et théorie du potentiel non linéaire
• Weakly Differentiable Functions

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