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

Matteo Focardi; Elvira Mascolo

Abstract

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

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

Quasi-convexity
lower semicontinuity
Orlicz-Sobolev spaces

Mathematics Subject Classification

49J45

Suggested citation

M. Focardi, E. Mascolo. “Lower Semicontinuity of Quasi-Convex Functionals with Non-Standard Growth.” Journal of Convex Analysis 8 (2001), No. 2, 327–348.