|
Journal Home Page
Cumulative Index
List of all Volumes
Complete Contents
of this Volume
Previous Article
Next Article
|
|
Journal of Convex Analysis 10 (2003), No. 2, 477--489
Copyright Heldermann Verlag 2003
On the Relaxation on BV of Certain Non Coercive Integral Functionals
Francesco Maggi
Dip. di Matematica, Università di Firenze, Viale Morgagni 67/A, 50134 Firenze, Italy,
maggi@math.unifi.it
We prove an integral representation formula for
the relaxed functional of a scalar non parametric integral of the Calculus
of Variations. Similar results are known to be true under the key assumption
that the integrand is coercive in the gradient variable. Here we show that
the same integral representation holds for a wide class
of non coercive integrands, including for example the strictly convex ones.
Keywords: relaxation, calculus of variations, demicoercivity.
MSC 2000: 49J45.
FullText-pdf (386 KB)
|