Lp-mean coercivity, regularity and relaxation in the calculus of variations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 46, Issue 6, 2001, Pages 835-851

  Yan, Baisheng ^a   Zhou, Zhengfang ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

Lp mean coercivity; Nonconvex functionals; Nonlinear Hodge decomposition; Regularity and relaxation

Indexed keywords

COERCIVE FORCE; CONFORMAL MAPPING; FUNCTIONS; MAGNETIC RELAXATION; MATRIX ALGEBRA; THEOREM PROVING;

NONCONVEX FUNCTIONALS; NONLINEAR HODGE DECOMPOSITIONS;

VARIATIONAL TECHNIQUES;

EID: 0035501623     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(00)00150-4     Document Type: Article

References (39)

1. Semicontinuity problems in the calculus of variations
2. Convexity conditions and existence theorems in nonlinear elasticity
3. Null Lagrangians, weak continuity, and variational problems of arbitrary order
4. Proposed experimental tests of a theory of fine microstructures and the two well problem
5. 1,p-quasiconvexity and variational problems for multiple integrals
6. Semicontinuity, relaxation and integral representation in the calculus of variations
7. Compensated compactness and Hardy spaces
8. On the variational principle
9. Quasiconvexity and partial regularity in the calculus of variations
10. On the continuity of the polyconvex, quasiconvex and rank-one-convex envelopes with respect to growth condition
11. p-integrability of the partial derivatives of a quasiconformal mapping
12. On the regularity of the minima of certain variational integrals
13. New inequalities for the Jacobian
14. p-harmonic tensors and quasiregular mappings
15. Integral estimates for null Lagrangians
16. Quasiregular mappings in even dimensions
17. Weak minima of variational integrals
18. On very weak solutions of certain elliptic systems
19. On the definition and the lower semicontinuity of certain quasiconvex integrals
20. On the existence of minima of multiple integrals
21. Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions
22. 1
23. Attainment results for the two-well problem by convex integration
24. Sharp stability results for almost conformal maps in even dimensions
25. Rank-one convexity does not imply quasiconvexity
26. On the problem of two wells
27. Lower semicontinuity for variational integral functionals and compensated compactness
28. 1,p-stability of the conformal set in higher dimensions
29. On rank-one convex and polyconvex conformal energy functions with slow growth
30. A theorem on improving regularity of minimizing sequences by reverse Hölder inequalities
31. Stability of weakly almost conformal mappings
32. A construction of quasiconvex functions with linear growth at infinity
33. On various semiconvex hulls in the calculus of variations