Extended Hardy-Littlewood inequality and applications to the calculus of variations

Authors
Cardaliaguet, P Tahraoui, R
Citation
P. Cardaliaguet et R. Tahraoui, Extended Hardy-Littlewood inequality and applications to the calculus of variations, CR AC S I, 329(6), 1999, pp. 479-484
Citations number
9
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
329
Issue
6
Year of publication
1999
Pages
479 - 484
Database
ISI
SICI code
0764-4442(19990915)329:6<479:EHIAAT>2.0.ZU;2-C
Abstract
In this Note, we generalize Hardy-Littlewood inequality for integrands of t he form f(\x\, u), where u, is n N-dimensional vector function. We use the result for proving the existence of n minimizer for functionals of the form integral(0)(1) f(x, v(x), v'(x)) dx under global or pointwise constraints. (C) 1999 Academie des Sciences/Editions scientifiques et medicales Elsevie r SAS.