On necessary conditions for the weak lower semicontinuity of integral functionals in Musielak-Orlicz-Sobolev spaces

Abstract

In the present work, we prove an approximation result in Musielak-Orlicz-Sobolev spaces and we give an application of this approximation result to a necessary condition in the calculus of variations.

Keywords

• musielak-orlicz functions
• musielak-orlicz-sobolev spaces
• level set
• calculus of variations