New estimates for elliptic equations and Hodge type systems

Jean Bourgain; Haïm Brezis

Journal of the European Mathematical Society (2007)

  • Volume: 009, Issue: 2, page 277-315
  • ISSN: 1435-9855

Abstract

top
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 .

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.