On the equation \(\text{div }u=f\)

From MaRDI portal
Publication:1608722

DOI10.1016/S1631-073X(02)02344-0zbMath0999.35020OpenAlexW2027154396MaRDI QIDQ1608722

Jean Bourgain, Haim Brezis

Publication date: 5 December 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02344-0




Related Items (21)

New estimates for the Laplacian, the div-curl, and related Hodge systemsThe Pullback EquationOn the extrema of a nonconvex functional with double-well potential in 1DExistence and uniqueness of weak solutions for a fourth-order nonlinear parabolic equationA trace problem for associate Morrey potentialsA trace law for the Hardy-Morrey-Sobolev spaceAn optimal Sobolev embedding for \(L^1\)Limiting Sobolev and Hardy inequalities on stratified homogeneous groupsNew estimates for the div-curl-grad operators and elliptic problems with \(L^{1}\)-data in the whole space and in the half-spaceLimiting Sobolev inequalities for vector fields and canceling linear differential operatorsUnnamed ItemUnnamed ItemNew directions in harmonic analysis on \(L^1\)Analytic solutions for the approximated 1-D Monge-Kantorovich mass transfer problemsAn \(L^1\)-type estimate for Riesz potentialsVariations on a proof of a borderline Bourgain-Brezis Sobolev embedding theoremLimiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variationsDiv-curl lemma with critical power weights in dimension threeEmbeddings for \(\mathbb{A}\)-weakly differentiable functions on domainsAn Alternating Direction Method of Multipliers for the Numerical Solution of a Fully Nonlinear Partial Differential Equation Involving the Jacobian DeterminantBourgain-Brezis inequalities on symmetric spaces of non-compact type



Cites Work


This page was built for publication: On the equation \(\text{div }u=f\)