@article{AIHPC_1994__11_3_275_0, author = {Ye, Dong}, title = {Prescribing the jacobian determinant in {Sobolev} spaces}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {275--296}, publisher = {Gauthier-Villars}, volume = {11}, number = {3}, year = {1994}, mrnumber = {1277896}, zbl = {0834.35047}, language = {en}, url = {http://archive.numdam.org/item/AIHPC_1994__11_3_275_0/} }
Ye, Dong. Prescribing the jacobian determinant in Sobolev spaces. Annales de l'I.H.P. Analyse non linéaire, Tome 11 (1994) no. 3, pp. 275-296. http://archive.numdam.org/item/AIHPC_1994__11_3_275_0/
[1] On the Volume Elements on a Manifold, Trans. Amer. Math. Soc., Vol. 120, 1965, pp. 286-294. | MR | Zbl
,[2] On a Partial Differential Equation Involving the Jacobian Determinant, Ann. I.H.P. Analyse Non Linéaire, Vol. 7, 1990, pp. 1-26. | Numdam | MR | Zbl
and ,[3] Sobolev Spaces, Academic Press, 1975. | MR | Zbl
,[4] Convexity Conditions and Existence Theorems in Nonlinear Elasticity, Arch. Rational Mech. Anal., No. 63, 1977, pp. 337-403. | MR | Zbl
,[5] Global Invertibility of Sobolev Functions and the Interpenetration of Matter, Proceeding of the Royal Society of Edinburgh, 88A, 1987, pp. 315-328. | MR | Zbl
,[6] Maximum Principles and a priori Estimates for an Incompressible Material in Nonlinear Elasticity, preprint. | MR
, and ,[7] Remarks on the Euler Equation, Journal of Function Analysis, 15, 1974, pp. 341-363. | MR | Zbl
and ,[8] Compacité par compensation et Espace de Hardy, C. R. Acad. Sci. Paris, 309, Série I, 1989, pp. 945-949. | Zbl
, , and ,[9] Problèmes aux limites elliptiques dans Lp, Publications Math. Orsay, 1964.
and ,[10] Private Communication, 1992.
,[11] Problèmes aux limites dans les equations aux dérivées partielles, Séminaire de Math. Sup., Université de Montréal, 1962. | MR | Zbl
,[12] Existence and Characterization of Hydrostatic Pressure in Finite Deformations of Incompressible Elastic Bodies, J. Elasticity, No. 11, 1981, pp. 341-358. | MR | Zbl
and ,[13] Remarks on Infinite Dimensional Lie Groups, Relativité, Groupes et Topologie II, Les Houches, Session XL, B. S. DEWITT and P. STORA Eds., 1983, pp. 1007- 1057. | MR | Zbl
,[14] Det = det. A Remark on the Distributional Determinant, C. R. Acad. Sci. Paris, 311, Série I, 1990, pp. 13-17. | MR | Zbl
,[15] On the Geometry of the Group of Diffeomorphisms and the Dynamics of an Ideal Incompressible Fluid, Math. USSR Sbornik, Vol. 56, No. 1, 1987, pp. 79-105. | Zbl
,[16] Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970. | MR | Zbl
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