New estimates for elliptic equations and Hodge type systems

Jean Bourgain; Haim Brezis

doi:10.4171/JEMS/80

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Journal article

New estimates for elliptic equations and Hodge type systems

Jean Bourgain and Haim Brezis

Journal of the European Mathematical Society : JEMS, Vol.9(2), pp.277-315

2007

DOI: https://doi.org/10.4171/JEMS/80

Abstract

Fourier analysis

Functional analysis

Global analysis, analysis on manifolds

Partial differential equations

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.

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Title: New estimates for elliptic equations and Hodge type systems
Creators: Jean Bourgain - Institute for Advanced Study, PRINCETON, UNITED STATES
Haim Brezis - Rutgers University, Hill Center, Busch Campus, PISCATAWAY, UNITED STATES
Publication Details: Journal of the European Mathematical Society : JEMS, Vol.9(2), pp.277-315
Date published: 2007
Publisher: European Mathematical Society Publishing House
Academic Unit: Mathematics (SAS)
Language: English
Resource Type: Journal article
Identifiers: 991031665896504646