Abstract

We are concerned with the subdifferentials of integral functionals and functions given in the form Ef(x) = RT f(t, x)dµ, for a possibly nonconvex normal integrand f defined on a separable Banach with separable dual and a nonnegative σ-finite measure µ. We establish some limit-based estimates for the Fréchet and the limiting subdifferentials of Ef, covering the cases of Lipschitz and non-Lipschitz integrands.