3 citations · 6 across the 11 of their papers we have counts for
5 papers · 1 filter
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…
Schwarz's Lemmas for mappings satisfying Poisson's equation
Shaolin Chen, Saminathan Ponnusamy
For , and a given continuous function , we establish some Schwarz type lemmas for mappings of into satisfyi…
Total energy of radial mappings
Shaolin Chen, David Kalaj
The main aim of this paper is to extend one of the main results of Iwaniec and Onninen (Arch. Ration. Mech. Anal., 194: 927-986, 2009). We prove that, the so called total energy fu…
Lipschitz continuity of holomorphic mappings with respect to Bergman metric
Shaolin Chen, David Kalaj
n this paper, we establish the sharp estimate of the Lipschitz continuity with respect to the Bergman metric. The obtained results are the improvement and generalization of the cor…
Radial length, radial John disks and -quasiconformal harmonic mappings
Shaolin Chen, Saminathan Ponnusamy
In this article, we continue our investigations of the boundary behavior of harmonic mappings. We first discuss the classical problem on the growth of radial length and obtain a sh…