Nonlinear commutators and Jacobians

DOI10.1007/BF02656485zbMath0915.42007OpenAlexW2080008098MaRDI QIDQ1384978

Tadeusz Iwaniec

Publication date: 20 June 1999

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59536

zbMATH Keywords

interpolationdifferential formssingular integralsJacobianscancellation phenomenacompensated compactness principle

Mathematics Subject Classification ID

Variational inequalities (49J40) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Nonlinear elliptic equations (35J60)

Related Items (17)

Off-diagonal estimates for bi-parameter commutators ⋮ The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces ⋮ A note on the Jacobian problem of Coifman, Lions, Meyer and Semmes ⋮ Nonlinear open mapping principles, with applications to the Jacobian equation and other scale-invariant PDEs ⋮ The $L^p$-to-$L^q$ compactness of commutators with $p \gt q$ ⋮ On the distributional Jacobian of maps from \(\mathbb{S}^N\) into \(\mathbb{S}^N\) in fractional Sobolev and Hölder spaces ⋮ Calculus of variations: a differential form approach ⋮ Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators ⋮ Lipschitz estimates for commutators of singular integral operators associated with the sections ⋮ The \(L^p\)-to-\(L^q\) boundedness of commutators with applications to the Jacobian operator ⋮ On the Hardy space theory of compensated compactness quantities ⋮ \(L^2\) boundedness for maximal commutators with rough variable kernels ⋮ The Jacobian, the square root and the set \(\infty \) ⋮ Energy minimisers with prescribed Jacobian ⋮ VMO spaces associated with Neumann Laplacian ⋮ Of Commutators and Jacobians ⋮ Compactness properties of commutators of bilinear fractional integrals

Cites Work

• Derivatives of analytic families of Banach spaces
• On a partial differential equation involving the Jacobian determinant
• Commutator and other second order estimates in real interpolation theory
• Riesz transforms and elliptic PDEs with VMO coefficients
• Null Lagrangians, weak continuity, and variational problems of arbitrary order
• A theory of complex interpolation for families of Banach spaces
• The approximation problem for Sobolev maps between two manifolds
• Hardy space estimates for multilinear operators. I
• On the integrability of the Jacobian under minimal hypotheses
• Factorization theorems for Hardy spaces in several variables
• Integral estimates for null Lagrangians
• Integrability for the Jacobian of orientation preserving mappings
• Compensated compactness, paracommutaors, and Hardy spaces
• Nonlinear Hodge theory on manifolds with boundary
• Quasiregular mappings in even dimensions
• Compensated compactness and Hardy spaces
• New inequalities for the Jacobian
• Higher order commutators in the real method of interpolation
• Degree formulas for maps with nonintegrable Jacobian
• \(p\)-harmonic tensors and quasiregular mappings
• An existence theorem for surfaces of constant mean curvature
• Harmonische Funktionen und Jacobi-Determinanten von Diffeomorphismen
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• A surprising higher integrability property of mappings with positive determinant
• Higher integrability of determinants and weak convergence in L1.
• Projections onto gradient fields and $L^{p}$-estimates for degenerated elliptic operators
• On Weak Continuity and the Hodge Decomposition
• Nonlinear commutators in interpolation theory
• Another Characterization of BMO
• Functions of Vanishing Mean Oscillation
• Extensions of Hardy spaces and their use in analysis
• On Weak Convergence in H 1 ( R d )
• Weak minima of variational integrals.
• Weighted estimates for commutators of linear operators
• Limits of the improved integrability of the volume forms
• On the Volume Elements on a Manifold
• Note on the class LlogL
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