Sets of gradients with no rank-one connections
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Publication:1102524
zbMath0644.49011MaRDI QIDQ1102524
Publication date: 1990
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Nonlinear elasticity (74B20) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20) Convexity of real functions of several variables, generalizations (26B25)
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Remarks on \(W^{1,p}\)-stability of the conformal set in higher dimensions. ⋮ Numerical evidence towards a positive answer to Morrey's problem ⋮ The quasiconvex hull for the five-gradient problem ⋮ Automatic quasiconvexity of homogeneous isotropic rank-one convex integrands ⋮ Microstructures with finite surface energy: The two-well problem ⋮ Incompatible sets of gradients and metastability ⋮ On the quasiconvex exposed points ⋮ Characterizations of Young measures generated by gradients ⋮ An example of a quasiconvex function that is not polyconvex in two dimensions ⋮ Quasiconvexity at the boundary and the nucleation of austenite ⋮ On the structure of quasiconvex hulls ⋮ On the non-locality of quasiconvexity ⋮ Sharp stability results for almost conformal maps in even dimensions ⋮ Gradient Young measures generated by sequences in Sobolev spaces ⋮ Burkholder integrals, Morrey’s problem and quasiconformal mappings ⋮ On Tartar's conjecture ⋮ Rigidity for the four gradient problem
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