a1 Dipartimento di Matematica, Università di Parma, via M. D'Azeglio 85/A, 43100 Parma, Italy; email@example.com.
We study the integral representation properties of limits of sequences of integral functionals like under nonstandard growth conditions of (p,q)-type: namely, we assume that Under weak assumptions on the continuous function p(x), we prove Γ-convergence to integral functionals of the same type. We also analyse the case of integrands f(x,u,Du) depending explicitly on u; finally we weaken the assumption allowing p(x) to be discontinuous on nice sets.
(Received July 6 2001)
(Online publication September 15 2002)
Mathematics Subject Classification: