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Journal of Convex Analysis 08 (2001), No. 2, 327--348
Copyright Heldermann Verlag 2001

Lower Semicontinuity of Quasi-Convex Functionals with Non-Standard Growth

Matteo Focardi
Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy

Elvira Mascolo
Dip. di Matematica, UniversitÓ di Firenze, Viale Morgagni 87/a, 50134 Firenze, Italy

We study the lower semicontinuity properties of autonomous variational integrals whose energy densities are controlled by N-functions.

Keywords: Quasi-convexity, lower semicontinuity, Orlicz-Sobolev spaces.

MSC: 49J45

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