- Research Article
- Open access
- Published:
On univalent solutions of the biharmonic equation
Journal of Inequalities and Applications volume 2005, Article number: 642561 (2005)
Abstract
We analyze the univalence of the solutions of the biharmonic equation. In particular, we show that if is a biharmonic map in the form,, where is harmonic, then is starlike whenever is starlike. In addition, when,, where and are harmonic, we show that is locally univalent whenever is starlike and is orientation preserving.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
AbdulHadi, Z., Abu Muhanna, Y. & Khuri, S. On univalent solutions of the biharmonic equation. J Inequal Appl 2005, 642561 (2005). https://doi.org/10.1155/JIA.2005.469
Received:
Published:
DOI: https://doi.org/10.1155/JIA.2005.469