Characterization of homogeneous gradient young measures in case of arbitrary integrands
Mikhail A. Sychev (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Displaying similar documents to “On quasiconvex hulls in symmetric matrices”
Characterization of homogeneous gradient young measures in case of arbitrary integrands
On the structure of quasiconvex hulls
Kewei Zhang (1998)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Optimality conditions for nonconvex variational problems relaxed in terms of Young measures
Tomáš Roubíček (1998)
Kybernetika
Similarity:
The scalar nonconvex variational problems of the minimum-energy type on Sobolev spaces are studied. As the Euler–Lagrange equation dramatically looses selectivity when extended in terms of the Young measures, the correct optimality conditions are sought by means of the convex compactification theory. It turns out that these conditions basically combine one part from the Euler–Lagrange equation with one part from the Weierstrass condition.
On Tartar's conjecture
Vladimir Šverák (1993)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Modulus and continuous capacity.
Kallunki, Sari, Shanmugalingam, Nageswari (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
Similarity:
On the quasiconvex exposed points
Kewei Zhang (2001)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
The notion of quasiconvex exposed points is introduced for compact sets of matrices, motivated from the variational approach to material microstructures. We apply the notion to give geometric descriptions of the quasiconvex extreme points for a compact set. A weak version of Straszewicz type density theorem in convex analysis is established for quasiconvex extreme points. Some examples are examined by using known explicit quasiconvex functions.