# Semicontinuity of vectorial functionals in Orlicz-Sobolev spaces

created by focardi on 14 Feb 2013

[BibTeX]

Published Paper

Inserted: 14 feb 2013
Last Updated: 14 feb 2013

Journal: Rend. Istit. Mat. Univ. Trieste
Volume: XXIX
Pages: 141-161
Year: 1997

Abstract:

We study integral vectorial functionals $F(u)=\int_\Omega f(x,u(x),Du(x))dx$ where $f$ satisfies a quasi-convexity assumption and its growth is controlled in terms of $N$-functions. We obtain semicontinuity results in the weak$^\ast$ topology of the related Orlicz-Sobolev space.