Almost everywhere convex functions on \(\mathbb R^n\) and weak derivatives

DOI10.1007/BF02844421zbMath1009.49016OpenAlexW1974383686MaRDI QIDQ1864681

Matteo Rocca, Davide La Torre

Publication date: 18 March 2003

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844421

zbMATH Keywords

almost everywhere convex functionsstandard mollifiersweak gradients

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonsmooth analysis (49J52) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convexity of real functions of several variables, generalizations (26B25)

Cites Work

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• A characterization of almost everywhere convex functions
• Nondifferentiable optimization by smooth approximations
• On the Stability of Almost Convex Functions
• Weakly Differentiable Functions
• Variational Analysis
• The Minimization of Semicontinuous Functions: Mollifier Subgradients
• On Cauchy's Functional Equation
• Almost convex functions

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