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Calmness Properties and Contingent Subgradients of Integral Functionals on Lebesgue Spaces L p , 1 ≼ p < ∞

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Abstract

We study the notions of calmness, contingent epiderivatives, Hadamard differentiability, Gâteaux differentiability, and contingent subdifferentials of an integral functional defined on a Lebesgue space L p , with p ≠ ∞.

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Authors and Affiliations

  1. Laboratoire MIP, Université Paul Sabatier, UFR MIG, 118 route de Narbonne, 31062, Toulouse cedex 04, France

    Emmanuel Giner

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  1. Emmanuel Giner
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Correspondence to Emmanuel Giner.

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Giner, E. Calmness Properties and Contingent Subgradients of Integral Functionals on Lebesgue Spaces L p , 1 ≼ p < ∞. Set-Valued Anal 17, 223–243 (2009). https://doi.org/10.1007/s11228-009-0116-1

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  • DOI: https://doi.org/10.1007/s11228-009-0116-1

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