Lower semicontinuity of certain quasiconvex functionals in Orlicz–Sobolev spaces

✍ Scribed by Anna Verde; Gabriella Zecca

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 552 KB
• Volume: 71
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2009.03.021

✦ Synopsis

Let u : Ω ⊂ R n → R N be any vector valued function. We prove a semicontinuity result in the weak* topology of Orlicz-Sobolev spaces of the functional

where f is a quasiconvex function satisfying non-standard growth conditions.