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(Two-scale) $W^{1}L^Φ$-gradient Young measures and homogenization of integral functionals in Orlicz-Sobolev spaces (2407.03359v1)
Published 23 Jun 2024 in math.AP and math.OC
Abstract: (Two-scale) gradient Young measures in Orlicz-Sobolev setting are introduced and characterized providing also an integral representation formula for non convex energies arising in homogenization problems with nonstandard growth.