Some remarks on lower semicontinuity

Irene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA
U.S.A.
email: fonseca@andrew.cmu.edu

and

Giovanni Leoni
Dipartimento di Scienze e Tecnologie
Avanzate
Universitá del Piemonte Orientale
Alessandria, Italy 15100

ABSTRACT: Classical lower semicontinuity results obtained by Serrin in the scalar case are extended to the vectorial setting for convex and polyconvex integrands.