This paper considers the integrability for the Jacobian of orientation-preserving forms in anisotropic Sobolev classes. The main result is a sufficient condition ensuring integrability of the Jacobian, which can be re...This paper considers the integrability for the Jacobian of orientation-preserving forms in anisotropic Sobolev classes. The main result is a sufficient condition ensuring integrability of the Jacobian, which can be regarded as a refinement of the result of Iwaniec and Sbordone.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.10471149)Mathematics Tian Yuan Youth Foundation(Grant No.A0324610)Doctoral Foundation of the Department of Education of Hebei Province(Grant No.B2004103).
文摘This paper considers the integrability for the Jacobian of orientation-preserving forms in anisotropic Sobolev classes. The main result is a sufficient condition ensuring integrability of the Jacobian, which can be regarded as a refinement of the result of Iwaniec and Sbordone.
