We study the integral representation properties of limits of sequences of integral functionals under nonstandard growth conditions of (p, q)-type: namely, we assume that |z|p(x) ≤ f(x, z) ≤ L(1 + |z|p(x)) . 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.
|Tipologia ministeriale:||Articolo su rivista|
|Appare nelle tipologie:||1.1 Articolo su rivista|