On some inequalities of Bourgain, Brezis, Maz'ya, and Shaposhnikova related to \(L^1\) vector fields
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Publication:974012
DOI10.1016/j.crma.2010.03.019zbMath1204.35082OpenAlexW2044630309MaRDI QIDQ974012
Publication date: 26 May 2010
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2010.03.019
Fundamental solutions to PDEs (35A08) Inequalities involving derivatives and differential and integral operators (26D10) Higher-order elliptic equations (35J30)
Related Items (7)
An optimal Sobolev embedding for \(L^1\) ⋮ A limiting case for the divergence equation ⋮ Approximation in higher-order Sobolev spaces and Hodge systems ⋮ A subelliptic Bourgain-Brezis inequality ⋮ Bergman-Bourgain-Brezis-type inequality ⋮ Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations ⋮ Hierarchical Construction of Bounded Solutions in Critical Regularity Spaces
Cites Work
- Estimates for differential operators of vecor analysis involving \(L^{1}\)-norm
- New estimates for elliptic equations and Hodge type systems
- New estimates for the Laplacian, the div-curl, and related Hodge systems
- A Collection of Sharp Dilation Invariant Integral Inequalities for Differentiable Functions
- On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases
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