Generalized Second Fundamental form for Lipschitzian Hypersurfaces by Way of Second Epi Derivatives

DOI10.4153/CMB-1992-069-5zbMath0764.53007OpenAlexW2314103425MaRDI QIDQ4024832

Dominikus Noll

Publication date: 16 February 1993

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-1992-069-5

zbMATH Keywords

convex surfacesnonsmooth functionsgeneralized second derivativesepi convergence

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Convexity of real functions of several variables, generalizations (26B25)

Related Items (6)

Graphical methods in first and second-order differentiability theory of integral functionals ⋮ Contributions to affine surface area ⋮ Second order epi derivatives and the Dupin indicatrix for nonsmooth functions ⋮ Minimizing irregular convex functions: Ulam stability for approximate minima ⋮ Second Order Differentiability of Convex Functions in Banach Spaces ⋮ Absolute Continuity for Curvature Measures of Convex Sets I

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