On a partial differential equation involving the jacobian determinant
Bernard Dacorogna; Jürgen Moser
Annales de l'I.H.P. Analyse non linéaire (1990)
- Volume: 7, Issue: 1, page 1-26
- ISSN: 0294-1449
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topDacorogna, Bernard, and Moser, Jürgen. "On a partial differential equation involving the jacobian determinant." Annales de l'I.H.P. Analyse non linéaire 7.1 (1990): 1-26. <http://eudml.org/doc/78211>.
@article{Dacorogna1990,
author = {Dacorogna, Bernard, Moser, Jürgen},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {volume preserving diffeomorphism; Jacobian determinant},
language = {eng},
number = {1},
pages = {1-26},
publisher = {Gauthier-Villars},
title = {On a partial differential equation involving the jacobian determinant},
url = {http://eudml.org/doc/78211},
volume = {7},
year = {1990},
}
TY - JOUR
AU - Dacorogna, Bernard
AU - Moser, Jürgen
TI - On a partial differential equation involving the jacobian determinant
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1990
PB - Gauthier-Villars
VL - 7
IS - 1
SP - 1
EP - 26
LA - eng
KW - volume preserving diffeomorphism; Jacobian determinant
UR - http://eudml.org/doc/78211
ER -
References
top- [AB] M. Abraham and R. Becker, Classical Theory of Electricity and Magnetism, Glasgow, 1950.
- [A] S. Alpern, New Proofs that Weak Mixing is Generic, Inventiones Math., Vol. 32, 1976, pp. 263-279. Zbl0338.28012MR402005
- [AK] D.V. Anosov and A.B. Katok, New Examples in Smooth Ergodic Theory. Ergodic Diffeomorphisms, Trudy Moskov Mat. Obsc. Tom, Vol. 23, 1970, Trans. Moscow Math. Soc., Vol. 23, 1970, pp. 1-35. Zbl0255.58007MR370662
- [B] A. Banyaga, Formes volume sur les variétés à bord, Enseignement Math., Vol. 20, 1974, pp. 127-131. Zbl0281.58001MR358649
- [CL] E.A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, MacGraw-Hill, New York, 1955. Zbl0064.33002MR69338
- [D] B. Dacorogna, A Relaxation Theorem and its Application to the Equilibrium of Gases, Arch. Ration. Mech. Anal., Vol. 77, 1981, pp. 359-385. Zbl0492.49002MR642553
- [GS] R.E. Greene and K. Shiohama, Diffeomorphisms and Volume Preserving Embeddings of Non Compact Manifolds, Trans. Am. Math. Soc., Vol. 255, 1979, pp. 403- 414. Zbl0418.58002MR542888
- [H] L. Hörmander, The Boundary Problems of Physical Geodesy, Arch. Ration. Mech. Anal., Vol. 62, 1976, pp. 1-52. Zbl0331.35020MR602181
- [LU] O.A. Ladyzhenskaya and N.N. Uraltseva, Linear and Quasilinear Elliptic Equations, Academic Press, New York, 1968. Zbl0164.13002MR244627
- [L] A.E.H. Love, Treatise on the Mathematical Theory of Elasticity, New York, 1944. Zbl0063.03651
- [MO] G.H. Meisters and C. Olech, Locally One to One Mappings and a Classical Theorem on Schlicht Functions, Duke Math. J., Vol. 30, 1963, pp. 63-80. Zbl0112.37702MR143921
- [M] J. Moser, On the Volume Elements on a Manifold, Trans. Am. Math. Soc., Vol. 120, 1965, pp. 286-294. Zbl0141.19407MR182927
- [T] L. Tartar, private communication, 1979.
- [Z] E. Zehnder, Note on Smoothing Symplectic and Volume Preserving Diffeomorphisms, Springer, Lect. Notes Math., Vol. 597, 1976, pp. 828-855. Zbl0363.58004MR467846
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