Giovanni Leon, Dipartimento di Scienze e Tecnologia Avanzate, Universita del Piemonte Orientale.
"A chain rule in and its applications to lower semicontinuity"
A chain rule in the space is obtained underweak regularity conditions. This chain rule has important applications in the study of lower semicontinuity problems for functionals of the form
with respect to strong convergence in , and in turn for general functionals of the form
Classical results of Serrin, and De Giorgi, Buttazzo and Dal Maso are extended and generalized.
TUESDAY, April 16, 2002