Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

A surprising higher integrability property of mappings with positive determinant


Author: Stefan Müller
Journal: Bull. Amer. Math. Soc. 21 (1989), 245-248
MSC (1985): Primary 49A22, 58C25; Secondary 26B35, 73C50
DOI: https://doi.org/10.1090/S0273-0979-1989-15818-7
MathSciNet review: 999618
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [B] J. M. Ball, Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rational Mech. Anal. 63 (1977), 337-403. MR 475169
  • [BM] J. M. Ball and F. Murat, W, J. Funct. Anal. 58 (1984), 225-253. MR 759098
  • [DM] R. J. DiPerna and A. J. Majda, Oscillations and concentrations in weak solutions of the incompressible fluid equations, Comm. Math. Phys. 108 (1987), 667-689. MR 877643
  • [ET] I. Ekeland and R. Teman, Convex analysis and variational problems, North-Holland, Amsterdam, 1976.
  • [F] H. Federer, Geometric measure theory, Springer-Verlag, Berlin, Heidelberg, New York, 1969. MR 257325
  • [L1] P. L. Lions, The concentration-compactness principle in the calculus of variations, the locally compact case, parts I and II, Ann. Inst. H. Poincaré 1 (1984), 109-145; 223-283. MR 778970
  • [L2] P. L. Lions, The concentration compactness principle in the calculus of variations, the limit case, part I, Rev. Mat. Iberoamericana 1 (1984), 145-201; part II 2 (1985), 45-121. MR 834360
  • [M] S. Müller, Higher integrability of determinants and weak compactness in L1, preprint.
  • [R] Y. G. Reshetnyak, Stability theorems for mappings with bounded excursion, Siberian Math. J. 9 (1968), 499-512.
  • [S1] E. Stein, Singular integrals and differentiability properties of functions, Princeton Univ. Press, Princeton, N. J., 1970. MR 290095
  • [S2] E. Stein, Note on the class LlogL, Studia Math. 32 (1969), 305-310. MR 247534
  • [Z] K. W. Zhang, Biting theorems for jacobians and their applications, preprint.

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1985): 49A22, 58C25, 26B35, 73C50

Retrieve articles in all journals with MSC (1985): 49A22, 58C25, 26B35, 73C50


Additional Information

DOI: https://doi.org/10.1090/S0273-0979-1989-15818-7

American Mathematical Society