Płuciennik, Ryszard; Tian, Shen; Wang, Yuwen Non-convex integral functionals on Musielak-Orlic spaces. (English) Zbl 0762.46016 Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 30, No. 1, 113-123 (1990). Summary: Non-convex integral functionals on Musielak-Orlicz spaces are discussed. A representation for the generalized gradient of an integral functional is given under some conditions. A sufficient condition for the lower semicontinuity of a functional is given. Cited in 1 Document MSC: 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 46G05 Derivatives of functions in infinite-dimensional spaces Keywords:non-convex integral functionals on Musielak-Orlicz spaces; representation; generalized gradient of an integral functional; lower semicontinuity PDFBibTeX XMLCite \textit{R. Płuciennik} et al., Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 30, No. 1, 113--123 (1990; Zbl 0762.46016)