Dirichlet problem, Univalency and Schwarz Lemma for Biharmonic Mappings
Complex Variables
2017-09-27 v1
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.
Keywords
Cite
@article{arxiv.1709.08940,
title = {Dirichlet problem, Univalency and Schwarz Lemma for Biharmonic Mappings},
author = {Zayid Abdulhadi and Yusuf Abu Muhanna and Saminathan Ponnusamy},
journal= {arXiv preprint arXiv:1709.08940},
year = {2017}
}
Comments
16 pages; 10 figures; The article is with a journal