We examine how the subdifferentials of nonconvex integral functionals can be deduced from the subdifferentials of the corresponding integrand or at least be estimated with the help of them. In fact, assuming some regularity properties of the integrands, we obtain exact expressions for the subdifferentials of the integral functionals. We draw some consequences in terms of duality for such integral functionals, extending in this way the early work of Rockafellar to the nonconvex case.
Mathematical Programming – Springer Journals
Published: Nov 17, 2017
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