Open AccessNew estimates for elliptic equations and Hodge type systems
Author(s) -
Jean Bourgain,
Haı̈m Brezis
Publication year - 2007
Publication title -
journal of the european mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.549
H-Index - 64
eISSN - 1435-9863
pISSN - 1435-9855
DOI - 10.4171/jems/80
Subject(s) - mathematics , type (biology) , hodge theory , mathematical analysis , elliptic curve , algebra over a field , pure mathematics , cohomology , ecology , biology
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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