Journal
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
Volume 15, Issue 2, Pages 273-297Publisher
SPRINGER BASEL AG
DOI: 10.1007/s11784-014-0177-0
Keywords
Critical Sobolev spaces; Gagliardo-Nirenberg-Sobolev inequality; canceling differential operator; overdetermined elliptic systems; underdetermined systems
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J. Bourgain and H. Brezis have obtained in 2002 some new and surprising estimates for systems of linear differential equations, dealing with the endpoint case L (1) of singular integral estimates and the critical Sobolev space . This paper presents an overview of the results, further developments over the last ten years and challenging open problems.
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