Higher integrability for measures satisfying a PDE constraint

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) A priori estimates in context of PDEs (35B45) Higher-order elliptic systems (35J48) PDEs with measure (35R06)

Cites Work

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On the differentiability of Lipschitz functions with respect to measures in the Euclidean space
On the structure of ${\mathcal A}$-free measures and applications
Oscillations and concentrations in weak solutions of the incompressible fluid equations
On the upper semicontinuity of a quasiconcave functional
Characterization of generalized gradient Young measures generated by sequences in $W^{1,1}$ and BV
Functions of bounded deformation
Fine properties of functions with bounded deformation
Divergence-free positive symmetric tensors and fluid dynamics
Limiting Sobolev inequalities for vector fields and canceling linear differential operators
Quantitative absolute continuity of planar measures with two independent Alberti representations
Characterization of generalized Young measures generated by ${\mathcal{A}} $-free measures
Compensated integrability. Applications to the Vlasov-Poisson equation and other models in mathematical physics
Potentials for $\mathcal {A}$-quasiconvexity
A coerciveness inequality for a class of nonelliptic operators of constant deficit
An elementary approach to the homological properties of constant-rank operators
Shape optimization of light structures and the vanishing mass conjecture
Hardy-Sobolev inequalities for vector fields and canceling linear differential operators
Compensated Compactness and General Systems of Conservation Laws
Optimization of light structures: the vanishing mass conjecture
$\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures
On a conjecture of Cheeger
Classical Fourier Analysis
Critical 𝐿^{𝑝}-differentiability of 𝐵𝑉^{}𝔸-maps and canceling operators
Calculus of variations

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