New estimates for elliptic equations and Hodge type systems

Bourgain, Jean, and Brezis, Haïm. "New estimates for elliptic equations and Hodge type systems." Journal of the European Mathematical Society 009.2 (2007): 277-315. <http://eudml.org/doc/277497>.

@article{Bourgain2007,
abstract = {We establish new estimates for the Laplacian, the div-curl system, and more general Hodge systems in arbitrary dimension $n$, with data in $L^1$. We also present related results concerning differential forms with coefficients in the limiting Sobolev space $W^\{1,n\}$.},
author = {Bourgain, Jean, Brezis, Haïm},
journal = {Journal of the European Mathematical Society},
keywords = {elliptic systems; data in $L^1$; div-curl; Hodge systems; limiting Sobolev spaces; differential forms; Littlewood–Paley decomposition; Ginzburg–Landau functional; elliptic system; data in ; div-curl; Hodge system; limiting Sobolev spaces; differential form; Littlewood-Paley decomposition; Ginzburg-Landau functional},
language = {eng},
number = {2},
pages = {277-315},
publisher = {European Mathematical Society Publishing House},
title = {New estimates for elliptic equations and Hodge type systems},
url = {http://eudml.org/doc/277497},
volume = {009},
year = {2007},
}

TY - JOUR
AU - Bourgain, Jean
AU - Brezis, Haïm
TI - New estimates for elliptic equations and Hodge type systems
JO - Journal of the European Mathematical Society
PY - 2007
PB - European Mathematical Society Publishing House
VL - 009
IS - 2
SP - 277
EP - 315
AB - We establish new estimates for the Laplacian, the div-curl system, and more general Hodge systems in arbitrary dimension $n$, with data in $L^1$. We also present related results concerning differential forms with coefficients in the limiting Sobolev space $W^{1,n}$.
LA - eng
KW - elliptic systems; data in $L^1$; div-curl; Hodge systems; limiting Sobolev spaces; differential forms; Littlewood–Paley decomposition; Ginzburg–Landau functional; elliptic system; data in ; div-curl; Hodge system; limiting Sobolev spaces; differential form; Littlewood-Paley decomposition; Ginzburg-Landau functional
UR - http://eudml.org/doc/277497
ER -