Abstract

A new convex regularization procedure for a function, appearing in the study of some sequential relaxation processes for integral functionals of the Calculus of Variations, is introduced and studied. The connections with the usual convex, lower semicontinuous enveloping are investigated, together with examples showing that they are different. Applications to integral representation problems, and to sequential relaxation processes are also given

Author information

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

Luciano Carbone

Dip. di Matematica e Applicazioni, Università di Napoli, Via Cintia, Complesso Monte S. Angelo, 80126 Napoli, Italy

Riccardo De Arcangelis

Dip. di Matematica e Applicazioni, Università di Napoli, Via Cintia, Complesso Monte S. Angelo, 80126 Napoli, Italy

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Suggested citation

L. Carbone, R. De Arcangelis. “On a Non-Standard Convex Regularization and the Relaxation of Unbounded Integral Functionals of the Calculus of Variations.” Journal of Convex Analysis 6 (1999), No. 1, 141–162. https://doi.org/10.68381/jca06009

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Published by Heldermann Verlag, 1999. Rights now held by Banach Press LLC.