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Sharp bounds for the growth and distortion of the analytic part of convex K-quasiconformal harmonic mappings
Peijin Li, Saminathan Ponnusamy
The main aim of this paper is to obtain the sharp upper and lower bounds for the growth and distortion of the analytic part of sense-preserving convex -quasiconformal harmon…
On the coefficients estimate of K-quasiconformal harmonic mappings
Peijin Li, Saminathan Ponnusamy
Recently, the Wang et al. \cite{wwrq} proposed a coefficient conjecture for the family of -quasiconformal harmonic mappings that are…
Schwarz-Pick and Landau type theorems for solutions to the Dirichlet-Neumann problem in the unit disk
Peijin Li, Qinghong Luo, Saminathan Ponnusamy
The aim of this paper is to establish some properties of solutions to the Dirichlet-Neumann problem: in the unit disc $\ID$, and…
Representation formula and bi-Lipschitz continuity of solutions to inhomogeneous biharmonic Dirichlet problems in the unit disk
Peijin Li, Saminathan Ponnusamy
The aim of this paper is twofold. First, we establish the representation formula and the uniqueness of the solutions to a class of inhomogeneous biharmonic Dirichlet problems, and…
Lipschitz continuity of quasiconformal mappings and of the solutions to second order elliptic PDE with respect to the distance ratio metric
Peijin Li, Saminthan Ponnusamy
The main aim of this paper is to study the Lipschitz continuity of certain -quasiconformal mappings with respect to the distance ratio metric, and the Lipschitz continuity…