Integrability for the Jacobian of orientation-preserving forms

Integrability for the Jacobian of orientation-preserving forms

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摘要 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. 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.

作者 GAO Hongya ZHAO Hongliang

机构地区 College of Mathematics and Computer Science

出处《Science China Mathematics》 SCIE 2005年第11期1488-1498,共11页 中国科学：数学（英文版）

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).

关键词 Jacobian integrability Hadamard's inequality Hodge decomposition Jacobian, integrability, Hadamard's inequality, Hodge decomposition.

分类号 N [自然科学总论]

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Integrability for the Jacobian of orientation-preserving forms

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