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, Università 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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