2 citations · 4 across the 10 of their papers we have counts for
10 papers
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…
On Schwarz-Pick type inequality and Lipschitz continuity for solutions to nonhomogeneous biharmonic equations
Peijin Li, Yaxiang Li, Qinghong Luo +1
The purpose of this paper is to study the Schwarz-Pick type inequality and the Lipschitz continuity for the solutions to the nonhomogeneous biharmonic equation: , where $g…
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…
On properties of the solutions to the -harmonic equation
Peijin Li, Antti Rasila, Zhi-Gang Wang
The aim of this paper is to establish properties of the solutions to the -harmonic equations: , wher…
Schwarz type lemma, Landau type theorem and Lipschitz type space of solutions to biharmonic equations
Shaolin Chen, Peijin Li, Xiantao Wang
The purpose of this paper is to study the properties of the solutions to the biharmonic equations: , where is a continuou…
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…
Several properties of -harmonic functions in the unit disk
Peijin Li, Xiantao Wang, Qianhong Xiao
The aim of this paper is to obtain the Schwarz-Pick type inequality for -harmonic functions in the unit disk and get estimates on the coefficients of . As an application,…
On the Lipschitz continuity of certain quasiregular mappings between smooth Jordan domains
Jiaolong Chen, Peijin Li, Swadesh Kumar Sahoo +1
We first investigate the Lipschitz continuity of -quasiregular mappings between two Jordan domains with smooth boundaries, satisfying certain partial differential in…