3 citations · 6 across the 11 of their papers we have counts for
4 papers · 2 filters
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…