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Integrales convexes dans les espaces de Sobolev

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Abstract

The convex functionalJ(u) = ∫Ω j(u)dx on the spaceW s,p0 (Θ) is considered. A description of its conjugateJ* onW −s, p′(Ω) and its subdifferential∂J are given.

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Bibliographie

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Authors and Affiliations

  1. Mathématiques, Université de Paris VI, 9 Quai St. Bernard, Paris 5e

    Haim Brezis

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  1. Haim Brezis
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Additional information

Ces résultats ont été obtenus, en partie, pendant la visite de l’A. à l’ E. P. F. de Lausanne.

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Brezis, H. Integrales convexes dans les espaces de Sobolev. Israel J. Math. 13, 9–23 (1972). https://doi.org/10.1007/BF02760227

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  • DOI: https://doi.org/10.1007/BF02760227

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