We are concerned with the subdifferentials of integral functionals and functions given in the form E-f(x) = f(T) f (t, x)d mu, for a possibly nonconvex normal integrand f defined on a separable Banach with separable dual ...

Starting from explicit expressions for the subdifferential of the conjugate function, we establish in the Banach space setting some integration results for the so-called epi-pointed functions. These results use the ...

We provide subdifferential calculus rules for continuous sums parametrized in measurable spaces that use the approximate subdifferentials of the data functions. As in Hiriart-Urruty and Phelps (J. Funct. Anal. 118: 154-166, ...

We extend the results of Correa, Garcia and Hantoute [6], dealing with the integration of nonconvex epi-pointed functions using the Fenchel subdifferential. In this line, we prove that the classical formula of Rockafellar ...

We give an integration criterion for nonconvex functions defined in locally convex spaces. We prove that an inclusion-type relationship between the epsilon-subdifferentials, for small amount of of any two functions is ...

We give an integration criterion for nonconvex functions defined in locally convex spaces. We prove that an inclusion-type relationship between the epsilon-subdifferentials, for small amount of of any two functions is ...

This work provides formulae for the ε-subdifferential of integral functions in the framework of complete σ-finite measure spaces and locally convex spaces. In this work we present here new formulae for this ε-subdifferential ...