Estimates for \(L^{1}\)-vector fields
From MaRDI portal
Publication:1876926
DOI10.1016/j.crma.2004.05.013zbMath1049.35069OpenAlexW2139058267MaRDI QIDQ1876926
Publication date: 20 August 2004
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.2004.05.013
A priori estimates in context of PDEs (35B45) Linear first-order PDEs (35F05) Elliptic equations and elliptic systems (35J99) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (38)
Weakly canceling operators and singular integrals ⋮ Applications of Bourgain-Brézis inequalities to fluid mechanics and magnetism ⋮ Hardy-type inequalities for vector fields with vanishing tangential components ⋮ A note on an inequality of Bourgain and Brezis ⋮ Boundary estimates for elliptic systems with \(L^{1}\)- data ⋮ Weighted estimates for $L_1$-vector fields ⋮ Sharp rigidity estimates for incompatible fields as a consequence of the Bourgain Brezis div-curl result ⋮ Limiting Sobolev and Hardy inequalities on stratified homogeneous groups ⋮ New estimates for the div, curl, grad operators and elliptic problems with \(L^{1}\)-data in the half-space ⋮ New estimates for the div-curl-grad operators and elliptic problems with \(L^{1}\)-data in the whole space and in the half-space ⋮ Boundary ellipticity and limiting \(\mathrm{L}^1\)-estimates on halfspaces ⋮ The Jacobian determinant revisited ⋮ Sharp a priori estimates for div-curl systems in Heisenberg groups ⋮ The Incompressible Navier Stokes Flow in Two Dimensions with Prescribed Vorticity ⋮ Approximation in higher-order Sobolev spaces and Hodge systems ⋮ On some refinements of the embedding of critical Sobolev spaces into BMO ⋮ Dimension of gradient measures ⋮ A subelliptic Bourgain-Brezis inequality ⋮ An Improved Strichartz Estimate for Systems with Divergence Free Data ⋮ The line-tension approximation as the dilute limit of linear-elastic dislocations ⋮ Continuity and canceling operators of order \(n\) on \(\mathbb{R}^n\) ⋮ Estimates for \(L^{1}\)-vector fields under higher-order differential conditions ⋮ Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem ⋮ Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations ⋮ Local $\mathbf {L}^{1}$ estimates for elliptic systems of complex vector fields ⋮ Function spaces between BMO and critical Sobolev spaces ⋮ A note on estimates for elliptic systems with \(L^1\) data ⋮ On Korn-Maxwell-Sobolev inequalities ⋮ New estimates for elliptic equations and Hodge type systems ⋮ Gagliardo-Nirenberg Inequalities for Horizontal Vector Fields in the Engel Group and in the Seven-Dimensional Quaternionic Heisenberg Group ⋮ Sobolev martingales ⋮ A remark on the regularity of the div-curl system ⋮ L1 Sobolev estimates for (pseudo)-differential operators and applications ⋮ Limiting fractional and Lorentz space estimates of differential forms ⋮ Estimate of the pressure when its gradient is the divergence of a measure. Applications ⋮ Embeddings for \(\mathbb{A}\)-weakly differentiable functions on domains ⋮ Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo's lemma ⋮ Bourgain-Brezis inequalities on symmetric spaces of non-compact type
Cites Work
This page was built for publication: Estimates for \(L^{1}\)-vector fields