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We show weak lower semi-continuity of functionals assuming the new notion of a "convexly constrained" $\mathcal A$-quasiconvex integrand.
Quasi-convexity and the lower semicontinuity of multiple integrals
C. B. Morrey · 1952
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An application of the Cayley-Hamilton theorem to generalized matrix inversion
H.P. Decell, Jr · 1965
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Singular integrals and differentiability properties of functions
E. M. Stein · 1970
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Compacité par compensation
F. Murat · 1978
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Une nouvelle méthode de résolution d’équations aux dérivées partielles non linéaires
L. Tartar · 1978
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Compensated compactness and applications to partial differential equations
L. Tartar · 1979
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Weak continuity and weak lower semi-continuity of non-linear functionals
B. Dacorogna · 1982
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𝒜 \mathcal{A} -quasiconvexity, lower semicontinuity, and Young measures
I. Fonseca and S. Müller · 1999
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Classical fourier analysis
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On admissibility criteria for weak solutions of the Euler equations
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Sobolev spaces
V. Maz’ya · 2013
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On the theory of relaxation in nonlinear elasticity with constraints on the determinant
S. Conti and G. Dolzmann · 2015
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Orientation-preserving Young measures
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Divergence-free positive symmetric tensors and fluid dynamics
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Multi-dimensional scalar conservation laws with unbounded integrable initial data
Potentials for A-quasiconvexity
B. Raita · 2019
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Compensated integrability. Applications to the Vlasov-Poisson equation and other models in mathematical physics
D. Serre · 2019
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Estimating the number and the strength of collisions in molecular dynamics
D. Serre · 2019
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Multi-dimensional Burgers equation with unbounded initial data: well-posedness and dispersive estimates
D. Serre and L. Silvestre · 2019
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𝒜 \mathcal{A} -quasiconvexity and partial regularity
S. Conti and F. Gmeineder · 2020
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On the upper semicontinuity of a quasiconcave functional
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D. Serre · 2018
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L. De Rosa, D. Serre and R. Tione · 2020
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On a question of D. Serre
L. De Rosa and R. Tione · 2020
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