1. CMB 1998 (vol 41 pp. 41)
|On the Clarke subdifferential of an integral functional on $L_p$, $1\leq p < \infty$ |
Given an integral functional defined on $L_p$, $1 \leq p <\infty$, under a growth condition we give an upper bound of the Clarke directional derivative and we obtain a nice inclusion between the Clarke subdifferential of the integral functional and the set of selections of the subdifferential of the integrand.
Keywords:Integral functional, integrand, epi-derivative
Categories:28A25, 49J52, 46E30