@article{AIHPC_1990__7_1_1_0, author = {Dacorogna, Bernard and Moser, J\"urgen}, title = {On a partial differential equation involving the jacobian determinant}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {1--26}, publisher = {Gauthier-Villars}, volume = {7}, number = {1}, year = {1990}, mrnumber = {1046081}, zbl = {0707.35041}, language = {en}, url = {http://www.numdam.org/item/AIHPC_1990__7_1_1_0/} }
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 SP - 1 EP - 26 VL - 7 IS - 1 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPC_1990__7_1_1_0/ LA - en ID - AIHPC_1990__7_1_1_0 ER -
%0 Journal Article %A Dacorogna, Bernard %A Moser, Jürgen %T On a partial differential equation involving the jacobian determinant %J Annales de l'I.H.P. Analyse non linéaire %D 1990 %P 1-26 %V 7 %N 1 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPC_1990__7_1_1_0/ %G en %F AIHPC_1990__7_1_1_0
Dacorogna, Bernard; Moser, Jürgen. On a partial differential equation involving the jacobian determinant. Annales de l'I.H.P. Analyse non linéaire, Volume 7 (1990) no. 1, pp. 1-26. http://www.numdam.org/item/AIHPC_1990__7_1_1_0/
[AB] Classical Theory of Electricity and Magnetism, Glasgow, 1950.
and ,[A] New Proofs that Weak Mixing is Generic, Inventiones Math., Vol. 32, 1976, pp. 263-279. | EuDML | MR | Zbl
,[AK] 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. | MR | Zbl
and ,[B] Formes volume sur les variétés à bord, Enseignement Math., Vol. 20, 1974, pp. 127-131. | MR | Zbl
,[CL] Theory of Ordinary Differential Equations, MacGraw-Hill, New York, 1955. | MR | Zbl
and ,[D] A Relaxation Theorem and its Application to the Equilibrium of Gases, Arch. Ration. Mech. Anal., Vol. 77, 1981, pp. 359-385. | MR | Zbl
,[GS] Diffeomorphisms and Volume Preserving Embeddings of Non Compact Manifolds, Trans. Am. Math. Soc., Vol. 255, 1979, pp. 403- 414. | MR | Zbl
and ,[H] The Boundary Problems of Physical Geodesy, Arch. Ration. Mech. Anal., Vol. 62, 1976, pp. 1-52. | MR | Zbl
,[LU] Linear and Quasilinear Elliptic Equations, Academic Press, New York, 1968. | MR | Zbl
and ,[L] Treatise on the Mathematical Theory of Elasticity, New York, 1944. | Zbl
,[MO] Locally One to One Mappings and a Classical Theorem on Schlicht Functions, Duke Math. J., Vol. 30, 1963, pp. 63-80. | MR | Zbl
and ,[M] On the Volume Elements on a Manifold, Trans. Am. Math. Soc., Vol. 120, 1965, pp. 286-294. | MR | Zbl
,[T] private communication, 1979.
,[Z] Note on Smoothing Symplectic and Volume Preserving Diffeomorphisms, Springer, Lect. Notes Math., Vol. 597, 1976, pp. 828-855. | MR | Zbl
,