Some remarks on quasiconvexity and rank-one convexity
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Publication:4715345
DOI10.1017/S0308210500023258zbMath0867.49012MaRDI QIDQ4715345
Publication date: 6 July 1997
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Related Items
Automatic quasiconvexity of homogeneous isotropic rank-one convex integrands, Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity, Numerical approaches for investigating quasiconvexity in the context of Morrey's conjecture, On the condition of tetrahedral polyconvexity, arising from calculus of variations, The quasiconvexification of a cubic polynomial at the origin, New convexity conditions in the calculus of variations and compensated compactness theory, Extremal rank-one convex integrands and a conjecture of Šverák
Cites Work
- Unnamed Item
- \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
- Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity
- Equilibrium configurations of crystals
- Null Lagrangians, weak continuity, and variational problems of arbitrary order
- Characterizations of Young measures generated by gradients
- An example of a quasiconvex function that is not polyconvex in two dimensions
- The relaxation of a double-well energy
- Convexity conditions and existence theorems in nonlinear elasticity
- Quasi-convexity and the lower semicontinuity of multiple integrals
- Laminates and microstructure
- Examples of rank-one convex functions
- Some examples of rank one convex functions in dimension two
- Quasiconvex functions with subquadratic growth
- Rank-one convexity does not imply quasiconvexity
- Semicontinuity problems in the calculus of variations