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J. Zhu, S. Ding and Z. Tang, “The Reverse Holder and Caccioppoli Type Inequalities for Generalized A-Harmonic Equations,” Under Review.

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• TITLE: An Extension of the Poincar’e Lemma of Differential Forms

  AUTHORS: Zhaoyang Tang, Jianmin Zhu, Jianhua Huang, Jin Li

  KEYWORDS: Differential Forms; Poincar’e Lemma; Domain Deformed to Every Point

  JOURNAL NAME: Applied Mathematics, Vol.4 No.1, January 25, 2013

  ABSTRACT: This paper is to extend the Poincar’e Lemma for differential forms in a bounded, convex domain [1] in Rn to a more general domain that, we call, is deformable to every point in itself. Then we extend the homotopy operator T in [1] to the domain defromed to every point of itself.