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- Title
Landau-Type Theorems for Certain Biharmonic Mappings.
- Authors
Ming-Sheng Liu; Zhen-Xing Liu; Jun-Feng Xu
- Abstract
Let F(z) = |z|² g(z) + h(z) (|z| < 1) be a biharmonic mapping of the unit disk ⅅ, where g and h are harmonic in ⅅ. In this paper, the Landau-type theorems for biharmonic mappings of the form L(F) are provided. Here L represents the linear complex operator L = (z∂/∂z) - ... defined on the class of complex-valued C¹ functions in the plane. The results, presented in this paper, improve the related results of earlier authors.
- Subjects
PARTIAL differential equations; NUMERICAL solutions to biharmonic equations; NUMERICAL analysis; FINITE difference method; FINITE element method
- Publication
Abstract & Applied Analysis, 2014, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2014/925947