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arXiv · 1709.08940

Dirichlet problem, Univalency and Schwarz Lemma for Biharmonic Mappings

Zayid Abdulhadi·Yusuf Abu Muhanna·Saminathan Ponnusamy
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Abstract

In this paper, we shall discuss the family of biharmonic mappings for which maximum principle holds. As a consequence of our study, we present Schwarz Lemma for the family of biharmonic mappings. Also we discuss the univalency of certain class of biharmonic mappings.

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Zayid Abdulhadi, Yusuf Abu Muhanna, Saminathan Ponnusamy. 2017-09-26. Dirichlet problem, Univalency and Schwarz Lemma for Biharmonic Mappings. https://arxiv.org/abs/1709.08940

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