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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

A surprising higher integrability property of mappings with positive determinant

Author(s): Stefan Müller
Journal: Bull. Amer. Math. Soc. 21 (1989), 245-248.
MSC (1985): Primary 49A22, 58C25; Secondary 26B35, 73C50
MathSciNet review: 999618
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References:

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[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

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[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.

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[Z] K. W. Zhang, Biting theorems for jacobians and their applications, preprint.


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Additional Information:

DOI: 10.1090/S0273-0979-1989-15818-7
PII: S 0273-0979(1989)15818-7


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