Calmness properties and contingent subgradients of integral functionals on Lebesgue spaces \(L_{p }, 1 \leqslant p < \infty \)

DOI10.1007/s11228-009-0116-1zbMath1182.26002OpenAlexW2013344839MaRDI QIDQ1034817

Emmanuel Giner

Publication date: 6 November 2009

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

Full work available at URL: https://doi.org/10.1007/s11228-009-0116-1

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Function spaces in general topology (54C35) 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

Lipschitzian properties of integral functionals on Lebesgue spaces \(L_p, 1 \leqslant p < \infty\), Subdifferentiation of integral functionals, Fatou's lemma and lower epi-limits of integral functionals, Image space approach and subdifferentials of integral functionals, A generalization of Fatou's lemma for extended real-valued functions on \(\sigma\)-finite measure spaces: with an application to infinite-horizon optimization in discrete time, On the Dini-Hadamard subdifferential of the difference of two functions

Cites Work

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• Convex analysis and measurable multifunctions
• Integrals, conditional expectations, and martingales of multivalued functions
• A smooth variational principle with applications to Hamilton-Jacobi equations in infinite dimensions
• Integrals which are convex functionals
• Integrals which are convex functionals. II
• Absolutely continuous subgradients of nonconvex integral functionals
• Generalized Directional Derivatives and Subgradients of Nonconvex Functions
• Directionally Lipschitzian Functions and Subdifferential Calculus
• On the Clarke Subdifferential of an Integral Functional on L_p, 1 ≤ p < ∞
• Set-valued analysis