An integral representation result is given for the lower semicontinuous envelope of the functional integral(OMEGA)f(del(k) u) dx on the space BV(k) (OMEGA: R(m)) of the integrable functions, whose the k-th derivative in the sense of distributions is a Radon measure with bounded total variation.
RELAXATION OF QUASI-CONVEX INTEGRALS OF ARBITRARY ORDER / Amar, Micol; DE CICCO, Virginia. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - STAMPA. - 124:05(1994), pp. 927-946. [10.1017/s0308210500022423]
RELAXATION OF QUASI-CONVEX INTEGRALS OF ARBITRARY ORDER
AMAR, Micol;DE CICCO, Virginia
1994
Abstract
An integral representation result is given for the lower semicontinuous envelope of the functional integral(OMEGA)f(del(k) u) dx on the space BV(k) (OMEGA: R(m)) of the integrable functions, whose the k-th derivative in the sense of distributions is a Radon measure with bounded total variation.File allegati a questo prodotto
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