Lipschitzian properties of integral functionals on Lebesgue spaces \(L_p, 1 \leqslant p < \infty\)

DOI10.1007/s11228-006-0031-7zbMath1144.26006OpenAlexW2086058842MaRDI QIDQ2642975

Emmanuel Giner

Publication date: 6 September 2007

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-006-0031-7

zbMATH Keywords

nonsmooth analysisintegral functionalcalmnessLipschitzian function

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Lipschitz (Hölder) classes (26A16) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Calculus of functions on infinite-dimensional spaces (26E15)

Related Items (2)

Subdifferentiation of integral functionals ⋮ Image space approach and subdifferentials of integral functionals

Cites Work

• Intégrales convexes et probabilités
• Calmness properties and contingent subgradients of integral functionals on Lebesgue spaces \(L_{p }, 1 \leqslant p < \infty \)
• Convex analysis and measurable multifunctions
• Integrals, conditional expectations, and martingales of multivalued functions
• Mean-value theorem with small subdifferentials
• Optimization and nonsmooth analysis
• Generalized Directional Derivatives and Subgradients of Nonconvex Functions
• Directionally Lipschitzian Functions and Subdifferential Calculus
• Variational Analysis
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