Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4618857 | Journal of Mathematical Analysis and Applications | 2011 | 9 Pages |
Abstract
In this paper, our main aim is to introduce the concept of planar p-harmonic mappings and investigate the properties of these mappings. First, we discuss the p-harmonic Bloch mappings. Two estimates on the Bloch constant are obtained, which are generalizations of the main results in Colonna (1989) [9]. As a consequence of these investigations, we establish a Bloch and Landau's theorem for p-harmonic mappings.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis