3 citations · 6 across the 11 of their papers we have counts for
10 papers · 1 filter
On certain quasiconformal and elliptic mappings
Shaolin Chen, Saminathan Ponnusamy
Let be the closure of the unit disk in the complex plane and be a continuous function in . In this pape…
On asymptotically sharp bi-Lipschitz inequalities of quasiconformal mappings satisfying inhomogeneous polyharmonic equations
Shaolin Chen, David Kalaj
Suppose that is a -quasiconformal (-quasiconformal resp.) self-mapping of the unit disk , which satisfies the following: the inhomogeneous polyharm…
Modulus of continuity and Heinz-Schwarz type inequalities of solutions to biharmonic equations
Shaolin Chen
For positive integers and , suppose that function satisfying the following: the inhomogeneous biharmonic…
The boundary behaviour of -quasiconformal harmonic mappings
Shaolin Chen, Saminathan Ponnusamy
In this article, we first discuss the Lipschitz characteristic and the linear measure distortion of -quasiconformal harmonic mappings. Then we give some characterizations of the…
Lengths, area and modulus of continuity of some classes of complex-valued functions
Shaolin Chen
In this paper, we discuss the modulus of continuity of solutions to Poisson's equation, and give bounds of length and area distortion for some classes of -quasiconformal mapping…
The Schwarz type Lemmas and the Landau type theorem of mappings satisfying Poisson's equations
Shaolin Chen, David Kalaj
For a given continuous function , we establish some Schwarz type Lemmas for mappings in satisfying the {\rm PDE}: , where is a subset o…