Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints
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Publication:2149081
DOI10.1007/s00205-022-01775-3zbMath1492.49016arXiv1909.03923OpenAlexW2971999380MaRDI QIDQ2149081
Publication date: 28 June 2022
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.03923
compensated compactnessnull Lagrangianscompensated regularityHardy integrabilityimproved and quantified convergence
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Cites Work
- On rank one convex functions that are homogeneous of degree one
- On the structure of \({\mathcal A}\)-free measures and applications
- Lower semicontinuity and relaxation of signed functionals with linear growth in the context of \(\mathcal A\)-quasiconvexity
- On coercive variational integrals
- On the Hardy space theory of compensated compactness quantities
- Oscillations and concentrations in weak solutions of the incompressible fluid equations
- The Jacobian determinant revisited
- Transformations on tensor product spaces
- A non-inequality for differential operators in the \(L_ 1\) norm
- Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints
- \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
- On admissibility criteria for weak solutions of the Euler equations
- Tartar's conjecture and localization of the quasiconvex hull in \(\mathbb R^{2\times 2}\)
- The Euler equations as a differential inclusion
- New estimates for elliptic equations and Hodge type systems
- Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals
- Null Lagrangians, weak continuity, and variational problems of arbitrary order
- Weak continuity and weak lower semi-continuity of non-linear functionals
- On the integrability of the Jacobian under minimal hypotheses
- Factorization theorems for Hardy spaces in several variables
- Convexity conditions and existence theorems in nonlinear elasticity
- Lower semicontinuity in spaces of weakly differentiable functions
- Integral estimates for null Lagrangians
- Compensated compactness, paracommutaors, and Hardy spaces
- Convex integration for Lipschitz mappings and counterexamples to regularity
- Nonlinear Hodge theory on manifolds with boundary
- Regularity for elliptic systems of differential forms and applications
- From microstructure-independent formulas for composite materials to rank-one convex, non-quasiconvex functions
- Calculus of variations: a differential form approach
- Relaxation of \(p\)-growth integral functionals under space-dependent differential constraints
- \({\mathcal H}^1\)-estimates of Jacobians by subdeterminants
- \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap
- Trilinear compensated compactness and nonlinear geometric optics
- Compensated compactness and Hardy spaces
- On surfaces of finite total curvature
- Limiting Sobolev inequalities for vector fields and canceling linear differential operators
- Sharp commutator estimates via harmonic extensions
- Bounded solutions of ideal MHD with compact support in space-time
- On the necessity of the constant rank condition for \(L^p\) estimates
- Young measures generated by ideal incompressible fluid flows
- Proof of Taylor's conjecture on magnetic helicity conservation
- Symmetric div-quasiconvexity and the relaxation of static problems
- On the trace operator for functions of bounded \(\mathbb{A} \)-variation
- Characterizations of symmetric polyconvexity
- Embeddings for \(\mathbb{A}\)-weakly differentiable functions on domains
- Extremal rank-one convex integrands and a conjecture of Šverák
- Potentials for \(\mathcal {A}\)-quasiconvexity
- Nonhomogeneous div-curl lemmas and local Hardy spaces
- On the stability of conformal mappings in multidimensional spaces
- Stability theorems for mappings with bounded excursions
- Coerciveness inequalities for nonelliptic systems of partial differential equations
- \(H^p\) spaces of several variables
- Weak continuity and lower semicontinuity results for determinants
- A new div-curl result. applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian
- Quasi-convexity and the lower semicontinuity of multiple integrals
- A-Quasiconvexity: Relaxation and Homogenization
- Nonlinear Cauchy-Riemann operators in ℝⁿ
- Exterior convexity and classical calculus of variations
- Higher integrability of determinants and weak convergence in L1.
- Oscillations and concentrations generated by ${\mathcal A}$-free mappings and weak lower semicontinuity of integral functionals
- On the gradient set of Lipschitz maps
- Compensated Compactness and General Systems of Conservation Laws
- On Weak Continuity and the Hodge Decomposition
- The structure of null Lagrangians
- On the Existence of Global Variational Principles
- Rank-one convexity does not imply quasiconvexity
- Functions of Vanishing Mean Oscillation
- Extensions of Hardy spaces and their use in analysis
- Hardy Spaces and the Two-Dimensional Euler Equations with Nonnegative Vorticity
- On Weak Convergence in H 1 ( R d )
- Variational integrals for elliptic complexes
- The Theory of Composites
- Hardy space estimates for higher order differential operators
- Weak Lower Semicontinuity of Integral Functionals and Applications
- $\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures
- On characterizing the set of possible effective tensors of composites: The variational method and the translation method
- $\mathcal{A}$-Quasiconvexity, Gårding Inequalities, and Applications in PDE Constrained Problems in Dynamics and Statics
- Remarks On Ornstein’s Non-Inequality In ℝ2×2
- Generalized Inverses of Linear Transformations
- Non‐coercive boundary value problems
- Closed 𝓐-pQuasiconvexity and Variational Problems with Extended Real-Valued Integrands
- Quasi-Convexity and Lower Semi-Continuity of Multiple Variational Integrals of Any Order
- An Application of the Cayley-Hamilton Theorem to Generalized Matrix Inversion
- Characterizations of bounded mean oscillation
- Semicontinuity problems in the calculus of variations
- Direct methods in the calculus of variations
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