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Non-convex integral functionals on Musielak-Orlic spaces. (English) Zbl 0762.46016

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.

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
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