Geodesic
New estimates for elliptic equations and Hodge type systems
Journal of the European Mathematical Society, Tome 9 (2007) no. 2, pp. 277-315.

Voir la notice de l'article provenant de la source EMS Press

We establish new estimates for the Laplacian, the div-curl system, and more general Hodge systems in arbitrary dimension n, with data in L1. We also present related results concerning differential forms with coefficients in the limiting Sobolev space W1,n.
DOI : 10.4171/jems/80
Classification : 35-XX, 42-XX, 46-XX, 58-XX
Keywords: Elliptic systems, data in L1, div-curl, Hodge systems, limiting Sobolev spaces, differential forms, Littlewood–Paley decomposition, Ginzburg–Landau functional 
@article{JEMS_2007_9_2_a3,
     author = {Jean Bourgain and Ha{\"\i}m Brezis},
     title = {New estimates for elliptic equations and {Hodge} type systems},
     journal = {Journal of the European Mathematical Society},
     pages = {277--315},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2007},
     doi = {10.4171/jems/80},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/80/}
}
TY  - JOUR
AU  - Jean Bourgain
AU  - Haïm Brezis
TI  - New estimates for elliptic equations and Hodge type systems
JO  - Journal of the European Mathematical Society
PY  - 2007
SP  - 277
EP  - 315
VL  - 9
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/80/
DO  - 10.4171/jems/80
ID  - JEMS_2007_9_2_a3
ER  - 
%0 Journal Article
%A Jean Bourgain
%A Haïm Brezis
%T New estimates for elliptic equations and Hodge type systems
%J Journal of the European Mathematical Society
%D 2007
%P 277-315
%V 9
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/80/
%R 10.4171/jems/80
%F JEMS_2007_9_2_a3
Jean Bourgain; Haïm Brezis. New estimates for elliptic equations and Hodge type systems. Journal of the European Mathematical Society, Tome 9 (2007) no. 2, pp. 277-315. doi : 10.4171/jems/80. http://geodesic.mathdoc.fr/articles/10.4171/jems/80/

Cité par Sources :