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Subjects
58-XX Global analysis, analysis on manifolds
58Axx General theory of differentiable manifolds
58A10 Differential forms

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Displaying 1 – 4 of 4

New estimates for elliptic equations and Hodge type systems

Jean Bourgain, Haïm Brezis (2007)

Journal of the European Mathematical Society

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 $W^{1, n}$ .

New weighted Poincaré-type inequalities for differential forms.

Hongya, Gao, Hua, Zhang (2005)

Journal of Inequalities and Applications [electronic only]

Non-decomposable Nambu brackets

Klaus Bering (2015)

Archivum Mathematicum

It is well-known that the Fundamental Identity (FI) implies that Nambu brackets are decomposable, i.e. given by a determinantal formula. We find a weaker alternative to the FI that allows for non-decomposable Nambu brackets, but still yields a Darboux-like Theorem via a Nambu-type generalization of Weinstein’s splitting principle for Poisson manifolds.

Norm comparison inequalities for the composite operator.

Xing, Yuming, Ding, Shusen (2009)

Journal of Inequalities and Applications [electronic only]

Currently displaying 1 – 4 of 4

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