ON THE REGULARITY OF VERY WEAK MINIMA

Authors
GIACHETTI D LEONETTI F SCHIANCHI R
Citation
D. Giachetti et al., ON THE REGULARITY OF VERY WEAK MINIMA, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 126, 1996, pp. 287-296
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
126
Year of publication
1996
Part
2
Pages
287 - 296
Database
ISI
SICI code
0308-2105(1996)126:<287:OTROVW>2.0.ZU;2-E
Abstract
We consider very weak minimisers u of variational integrals integral F (x, Du(x)) dx and very weak solutions u of nonlinear elliptic systems div A(x, u, Du) = 0; we prove higher integrability for the gradient Du without any homogeneity on xi --> A(x, u, xi), thus improving on a re sult by Iwaniec and Sbordone.