The theorem on convergence with a functional for integral functionals with p(x)- and p(x, u)-growth
Mikhail A. Sychev · Siberian Mathematical Journal · 2012
We continue studying weak convergence for the integral functionals satisfying p ( x )- and p ( x, u )-growth conditions. We obtain the theorem on convergence with a functional and some results on the relation between integral functionals and their abstract lower semicontinuous extensions.