On the singular support of the distributional determinant

Stefan Müller

Annales de l'I.H.P. Analyse non linéaire (1993)

  • Volume: 10, Issue: 6, page 657-696
  • ISSN: 0294-1449

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Müller, Stefan. "On the singular support of the distributional determinant." Annales de l'I.H.P. Analyse non linéaire 10.6 (1993): 657-696. <http://eudml.org/doc/78321>.

@article{Müller1993,
author = {Müller, Stefan},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {singular support; compensated compactness; Sobolev space; distributional determinant; set of prescribed Hausdorff-dimension},
language = {eng},
number = {6},
pages = {657-696},
publisher = {Gauthier-Villars},
title = {On the singular support of the distributional determinant},
url = {http://eudml.org/doc/78321},
volume = {10},
year = {1993},
}

TY - JOUR
AU - Müller, Stefan
TI - On the singular support of the distributional determinant
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1993
PB - Gauthier-Villars
VL - 10
IS - 6
SP - 657
EP - 696
LA - eng
KW - singular support; compensated compactness; Sobolev space; distributional determinant; set of prescribed Hausdorff-dimension
UR - http://eudml.org/doc/78321
ER -

References

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  1. [Ba 77] J.M. Ball. Convexity Conditions and Existence Theorems in Nonlinear Elasticity, Arch. Rat. Mech. Anal., Vol. 63. 1977, pp. 337-403. Zbl0368.73040
  2. [CLMS 89] R. Coifman, P.-L. Lions, Y. Meyer and S. Semmls, Compacité par compensation et espaces dc Hardy. C. R. Acad. Sci. Paris, T. 309, Series I, 1989, pp. 945-949. Zbl0684.46044
  3. [Da 89] B. Dacorogna, Direct Methods in the Calculus of Variations, Springer, Berlin, New York, 1989. Zbl0703.49001
  4. [DM 90] B. Dacorogna and J. Moser, On a Partial Differential Equation Involving the Jacobian Determant, Ann. I.H.P., Analvse non linéaire, Vol. 7, 1990, pp. 1-26. Zbl0707.35041
  5. [DA 89] R. De Arcanġelis, Some Remarks on the Identity Between a Variational Functional and its Relaxed Functional, Ann. Univ. Ferrera, Sez. VII, Sc. Math., Vol. 35, 1989, pp. 135-145. Zbl0715.49002
  6. [Fa 85] K.J. Falconer, The Geometry of Fractal Sets, Cambridge University Press, Cambridge, 1985. Zbl0587.28004
  7. [Gi 84] E. Gusti, Minimal Surfaces and Functions of Bounded Variation, Birkhäuser, Basel, 1984. Zbl0545.49018
  8. [MM 92] J. Maly and O. Martio, Lusin's Condition (N) and Mappings of the Class W1,n, Preprint. 
  9. [Mo 66] C.B. Morrly, Multiple Integrals in the Calculus of Variations, Springer, Berlin, New York, 1966. Zbl0142.38701
  10. [Mu 90a] S. Müller, Det = det. A Remark on the Distributional Determinant, C. R. Acad. Sci. Paris, T. 311, Series I, 1990, pp. 13-17. Zbl0717.46033
  11. [Mu 90b] S. Müller, A Counterexample to Formal Integration by Parts, C. R. Acad. Sci. Paris, T. 312, Series I, 1990, pp. 45-49. Zbl0723.46028
  12. [MTY 92] S. Müller, Q. Tang and B.S. Yan, On a New Class of Elastic Deformations not Allowing for Cavitation. Ann. I.H.P., Analvse non linéaire, to appear. Zbl0863.49002
  13. [Po 87] S.P. Ponomarev, Property N of Homeomorphisms of the Class W1.p, Sib. Math. J., Vol. 28, (1), 1987, pp. 291-298. Zbl0625.30024
  14. [Ro 70] C.A. Rogers, Hausdorff Measure, Cambridge University Press, Cambridge1970. Zbl0204.37601

Citations in EuDML Documents

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  1. S. Müller, Tang Qi, B. S. Yan, On a new class of elastic deformations not allowing for cavitation
  2. Luigi D'Onofrio, Flavia Giannetti, Luigi Greco, On weak Hessian determinants
  3. Luigi Ambrosio, Francesco Ghiraldin, Compactness of Special Functions of Bounded Higher Variation
  4. Guido De Philippis, Weak notions of jacobian determinant and relaxation
  5. Guido De Philippis, Weak notions of Jacobian determinant and relaxation
  6. Irene Fonseca, Nicola Fusco, Paolo Marcellini, Topological degree, Jacobian determinants and relaxation

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