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We present a systematic treatment of the theory of Compensated Compactness under Murat's constant rank assumption.
Quasi-convexity and lower semicontinuity of multiple integrals
1952
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Transformations on tensor product spaces
1959
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Majorations dans
1962
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A non-inequality for differential operators in the
1962
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An Application of the Cayley-Hamilton Theorem to Generalized Matrix Inversion
1965
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Non-coercive boundary value problems
1965
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Quasi-Convexity and Lower Semi-Continuity of Multiple Variational Integrals of Any Order
1965
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On the stability of conformal mappings in multidimensional spaces
1967
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Stability theorems for mappings with bounded excersions
1968
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Characterizations of bounded mean oscillation
1971
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Coerciveness inequalities for nonelliptic systems of partial differential equations
1971
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H p H^{p} spaces of several variables
1972
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On a Coerciveness Theorem by Schulenberger and Wilcox
1975
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Functions of vanishing mean oscillation
1975
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Factorization Theorems for Hardy Spaces in Several Variables
1976
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Convexity conditions and existence theorems in nonlinear elasticity
1977
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Extensions of Hardy spaces and their use in analysis
1977
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Compacité par Compensation
1978
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Compensated compactness and applications to partial differential equations
1979
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On the Existence of Global Variational Principles
1980
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Null Lagrangians, weak continuity, and variational problems of arbitrary order
1981
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Compacité par compensation: condition nécessaire et suffisante de continuité faible sous une hypothèse de rang constant
1981
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Weak Continuity and Weak Lower Semicontinuity of Non-Linear Functionals
1982
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The Compensated Compactness Method Applied to Systems of Conservation Laws
1983
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Semicontinuity problems in the calculus of variations
1984
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W 1 , p W^{1,p} -quasiconvexity and variational problems for multiple integrals
1984
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Compensated compactness and general systems of conservation laws
1985
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Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals
1985
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Oscillations and concentrations in weak solutions of the incompressible fluid equations
1987
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On weak continuity and the Hodge decomposition
1987
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The structure of null Lagrangians
1988
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On characterizing the set of possible effective tensors of composites: The variational method and the translation method
1990
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Higher integrability of determinants and weak convergence in
1990
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Hardy Space Estimates for Multilinear Operators, II
1992
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On the integrability of the Jacobian under minimal hypotheses
1992
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Rank-one convexity does not imply quasiconvexity
1992
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Compensated compactness and Hardy spaces
1993
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Integral estimates for null Lagrangians
On the gradient set of Lipschitz maps
2008
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Generalized Inverses of Linear Transformations
2009
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The Euler equations as a differential inclusion
2009
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On Admissibility Criteria for Weak Solutions of the Euler Equations
2010
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Oscillations and concentrations generated by
2010
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The General Theory of Homogenization
2010
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The Jacobian determinant revisited
2011
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1993
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Some Remarks on Separately Convex Functions
1993
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Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity
1994
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Nonlinear Cauchy-Riemann operators in
1995
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Trilinear Compensated Compactness and Nonlinear Geometric Optics
1995
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On surfaces of finite total curvature
1995
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Young Measures Generated by Ideal Incompressible Fluid Flows
2012
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Lower semicontinuity and relaxation of signed functionals with linear growth in the context of A-quasiconvexity
2013
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Limiting Sobolev inequalities for vector fields and canceling linear differential operators
2013
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Exterior convexity and classical calculus of variations
2016
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A new div-curl result. Applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian
2016
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On the structure of
2016
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On Rank One Convex Functions that are Homogeneous of Degree One
2016
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Harmonic Analysis (PMS-43), Volume 43: Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43)
2016
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Weak Lower Semicontinuity of Integral Functionals and Applications
2017
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On coercive variational integrals
2017
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On the Hardy Space Theory of Compensated Compactness Quantities
2017
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Regularity for elliptic systems of differential forms and applications
2017
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Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints
2018
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Relaxation of p-Growth Integral Functionals Under Space-Dependent Differential Constraints
2018
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From Microstructure-Independent Formulas for Composite Materials to Rank-One Convex, Non-quasiconvex Functions
2018
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Sharp commutator estimates via harmonic extensions
2018
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Characterizations of Symmetric Polyconvexity
2019
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On traces for functions of bounded
2019
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Symmetric div-quasiconvexity and the relaxation of static problems
2019
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Proof of Taylor’s Conjecture on Magnetic Helicity Conservation
2019
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Bounded solutions of ideal MHD with compact support in space-time
2019
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Extremal rank-one convex integrands and a conjecture of Šverák
2019
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Calculus of variations: A differential form approach
2019
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A short proof of Ornstein’s non-inequality in
2020
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