On a partial differential equation involving the Jacobian determinant
Bernard Dacorogna
École Polytechnique, Lausanne, SuisseJürgen Moser
Eidg. Techn. Hochschule, Zürich, Suisse
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Abstract
Let a bounded open set and in satisfying . We study existence and regularity of diffeomorphismsn such that
Résumé
Soit un ouvert borné et soit dans satisfaisant . On étudie l’existence et la régularité de difféomorphismes tels que
Cite this article
Bernard Dacorogna, Jürgen Moser, On a partial differential equation involving the Jacobian determinant. Ann. Inst. H. Poincaré Anal. Non Linéaire 7 (1990), no. 1, pp. 1–26
DOI 10.1016/S0294-1449(16)30307-9