A note on Meyers' theorem in Wk,1

Transactions of the American Mathematical Society

Volumn 354, Issue 9, 2002, Pages 3723-3741

  Fonseca, Irene ^a   Leoni, Giovanni ^a   Malý, Jan ^a   Paroni, Roberto ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Gradient truncation; Higher order lower semicontinuity; K quasiconvexity

Indexed keywords

EID: 0036720788     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-02-03027-1     Document Type: Article

References (29)

1. Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions
2. Relaxation of quasi-convex integrals of arbitrary order
3. New lower semicontinuity results for integral functionals
4. m) of quasi-convex integrals
5. Null Lagrangians, weak continuity, and variational problems of arbitrary order
6. Existence and regularity of renormalized solutions for some elliptic problems involving derivatives of nonlinear terms
7. A-quasiconvexity: Relaxation and homogenization
8. Special bounded hessian and elastic-plastic plate
9. Strong minimizers of Blake & Zisserman functional
10. A second order model in image segmentation: Blake & Zisserman functional
11. Counterexample to lower semicontinuity in Calculus of Variations
12. Weak lower semicontinuity of polyconvex integrals: A borderline case
13. Un nuovo tipo di funzionale del calcolo delle variazioni
14. Measure theory and fine properties of functions
15. On lower semicontinuity and relaxation
16. Some remarks on lower semicontinuity
17. 1
18. p) for integrands f(x, u, ∇u)
19. A-quasiconvexity, lower semicontinuity and Young measures
20. Quasiconvessità e semicontinuità per integrali multipli di ordine superiore
21. A direct proof for lower semicontinuity of polyconvex functionals
22. Lower semicontinuity for quasiconvex integrals of higher-order
23. Approximation of quasiconvex functions and lower semicontinuity of multiple integrals quasiconvex integrals
24. Quasi-convexity and lower semi-continuity of multiple variational integrals of any order
25. Quasi-convexity and the lower semicontinuity of multiple integrals
26. On the definition and properties of certain variational integrals