Resolutions of the prescribed volume form equation

Nonlinear Differential Equations and Applications

Volumn 3, Issue 3, 1996, Pages 323-369

  Rivière, Tristan ^a   Ye, Dong ^a,b  

^a CNRS   (France)

^b UNIVERSITÉ DE CERGY PONTOISE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000013490     PISSN: 10219722     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01194070     Document Type: Article

References (13)

1. R.A. ADAMS, Sobolev spaces, Academic press, New York, 1975
2. S. ALPERN, New proofs that weak mixing is generic, Inventiones Math. 32, 263-279 (1976)
3. B. DACOROGNA, Direct methods in the calculus of variations, App. Math. Sci. 78, Springer, 1989
4. B. DACOROGNA, J. MOSER, On a partial differential equation involving the Jacobian determinant, Ann. I.H.P. analyse nonlinéaire 7, 1-26 (1990)
5. D. GILBARG, N.S. TRUDINGER, Elliptic partial differential equations of second order, 2nd Edition, Springer, 1983
6. L. HÖRMANDER, The boundary problems of Physical Geodesy, Arch. Ration. Mech. Anal. 62, 1-52 (1976)
7. J. MOSER, On the volume elements on a manifold, Trans. Amer. Math. Soc. 120, 286-294 (1965)
8. J. OXTOBY, S. ULAM, Measure-preserving homeomorphisms and metrical transitivity, Ann. Math. 42, 874-920 (1941)
9. H.M. REIMANN, Harmonische Funktionen und Jacobi-Determinatan von diffeomorphismen, Comment. Math. Helv. 47:3, 397-408 (1972)
10. T. RIVIÈRE, D. YE, Une résolution de l'équation à forme volume prescrite, C.R. Acad. Sci, Paris 319, I 25-28 (1994)
11. J. SARVAS, Quasiconformal semiflows, Ann. Acad. Sci. Fen., Serie AI. Mathematica 7, 197-219 (1982)
12. D. YE, Prescribing the Jacobian determinant in Sobolev spaces, Ann. I.H.P. analyse nonlinéaire 3, 275-296 (1994)
13. E. ZEHNDER, Note on the smoothing symplectic and volume preserving diffeomorphisms, Lect. Notes on Maths. 597, 828-855 (1976)