A new approach to Young measure theory, relaxation and convergence in energy

M. A. Sychev

Displaying similar documents to “A new approach to Young measure theory, relaxation and convergence in energy”

Young measure approach to characterization of behaviour of integral functionals on weakly convergent sequences by means of their integrands

M. Sychev (1998)

Annales de l'I.H.P. Analyse non linéaire

Similarity:

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:

Relaxation of multiple integrals below the growth exponent

Irene Fonseca, Jan Malý (1997)

Annales de l'I.H.P. Analyse non linéaire

Similarity:

Further remarks on the lower semicontinuity of polyconvex integrals

Pietro Celada, Gianni Dal Maso (1994)

Annales de l'I.H.P. Analyse non linéaire

Similarity:

Tightness, integral equicontinuity and compactness for evolution problems in Banach spaces

Riccarda Rossi, Giuseppe Savaré (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

Compactness in the space $L^{p} (0, T; B)$ , $B$ being a separable Banach space, has been deeply investigated by J.P. Aubin (1963), J.L. Lions (1961, 1969), J. Simon (1987), and, more recently, by J.M. Rakotoson and R. Temam (2001), who have provided various criteria for relative compactness, which turn out to be crucial tools in the existence proof of solutions to several abstract time dependent problems related to evolutionary PDEs. In the present paper, the problem is examined in view of Young measure...

On lower semicontinuity of multiple integrals

Agnieszka Kałamajska (1997)

Colloquium Mathematicae

Similarity:

We give a new short proof of the Morrey-Acerbi-Fusco-Marcellini Theorem on lower semicontinuity of the variational functional $\int_{Ω} F (x, u, \nabla u) d x$ . The proofs are based on arguments from the theory of Young measures.