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Search Results: 1 - 10 of 80152 matches for " CHEN Sh "
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Distortion and covering theorems of pluriharmonic mappings
Sh. Chen,S. Ponnusamy
Mathematics , 2014,
Abstract: In this paper, we mainly investigate distortion and covering theorems on some classes of pluriharmonic mappings.
On the water hazards in the trans-boundary Kosi River basin
N. Sh. Chen,G. Sh. Hu,W. Deng,N. Khanal
Natural Hazards and Earth System Sciences (NHESS) & Discussions (NHESSD) , 2013, DOI: 10.5194/nhess-13-795-2013
Abstract: The Kosi River is an important tributary of the Ganges River, which passes through China, Nepal and India. With a basin area of 71 500 km2, the Kosi River has the largest elevation drop in the world (from 8848 m of Mt Everest to 60 m of the Ganges Plain) and covers a broad spectrum of climate, soil, vegetation and socioeconomic zones. The basin suffers from multiple water related hazards including glacial lake outburst, debris flow, landslides, flooding, drought, soil erosion and sedimentation. This paper describes the characteristics of water hazards in the basin, based on the literature review and site investigation covering hydrology, meteorology, geology, geomorphology and socio-economics. Glacial lake outbursts are a huge threat to the local population in the region and they usually further trigger landslides and debris flows. Floods are usually a result of interaction between man-made hydraulic structures and the natural environment. Debris flows are widespread and occur in clusters. Droughts tend to last over long periods and affect vast areas. Rapid population increase, the decline of ecosystems and climate change could further exacerbate various hazards in the region. The paper has proposed a set of mitigating strategies and measures. It is an arduous challenge to implement them in practice. More investigations are needed to fill in the knowledge gaps.
The Conductivity of Indium Phosphide Irradiated by Fast Electrons  [PDF]
Sh. Sh. Rashidova
Journal of Modern Physics (JMP) , 2013, DOI: 10.4236/jmp.2013.411183

In this work, studied electrical conductivity(s) and annealing of radiation defects in crystals of n-InP are irradiated by electrons energy of 6 MeV and doses of 1017 el/cm2 (centimeter) and 2 × 1017 el/cm2 (centimeter). It is shown that alongside point defects (in the form of complexes with impurity atoms in crystals of n-InP) also form the complex defects of the type of disordered areas, annealing of which proceeds at T > 300°C that binds accumulating radiation defects.

General Approach to Regions of Variability via Subordination of Harmonic Mappings
Sh. Chen,S. Ponnusamy,X. Wang
International Journal of Mathematics and Mathematical Sciences , 2009, DOI: 10.1155/2009/736746
Abstract: Using subordination, we determine the regions of variability of severalsubclasses of harmonic mappings. We also graphically illustrate the regions of variability forseveral sets of parameters for certain special cases.
Some Properties and Regions of Variability of Affine Harmonic Mappings and Affine Biharmonic Mappings
Sh. Chen,S. Ponnusamy,X. Wang
International Journal of Mathematics and Mathematical Sciences , 2009, DOI: 10.1155/2009/834215
Abstract: We first obtain the relations of local univalency, convexity, and linear connectedness between analytic functions and their corresponding affine harmonic mappings. In addition, the paper deals with the regions of variability of values of affine harmonic and biharmonic mappings. The regions (their boundaries) are determined explicitly and the proofs rely on Schwarz lemma or subordination.
On some properties of solutions of the $p$-harmonic equation
SH. Chen,S. Ponnusamy,X. Wang
Mathematics , 2012,
Abstract: A $2p$-times continuously differentiable complex-valued function $f=u+iv$ in a simply connected domain $\Omega\subseteq\mathbb{C}$ is \textit{p-harmonic} if $f$ satisfies the $p$-harmonic equation $\Delta ^pf=0.$ In this paper, we investigate the properties of $p$-harmonic mappings in the unit disk $|z|<1$. First, we discuss the convexity, the starlikeness and the region of variability of some classes of $p$-harmonic mappings. Then we prove the existence of Landau constant for the class of functions of the form $Df=zf_{z}-\barzf_{\barz}$, where $f$ is $p$-harmonic in $|z|<1$. Also, we discuss the region of variability for certain $p$-harmonic mappings. At the end, as a consequence of the earlier results of the authors, we present explicit upper estimates for Bloch norm for bi- and tri-harmonic mappings.
Weighted Lipschitz continuity, Schwarz-Pick's Lemma and Landau-Bloch's theorem for hyperbolic-harmonic mappings in $\mathbb{C}^{n}$
Sh. Chen,S. Ponnusamy,X. Wang
Mathematics , 2012,
Abstract: In this paper, we discuss some properties on hyperbolic-harmonic mappings in the unit ball of $\mathbb{C}^{n}$. First, we investigate the relationship between the weighted Lipschitz functions and the hyperbolic-harmonic Bloch spaces. Then we establish the Schwarz-Pick type theorem for hyperbolic-harmonic mappings and apply it to prove the existence of Landau-Bloch constant for mappings in $\alpha$-Bloch spaces.
Area integral means, Hardy and weighted Bergman spaces of planar harmonic mappings
SH. Chen,S. Ponnusamy,X. Wang
Mathematics , 2012,
Abstract: In this paper, we investigate some properties of planar harmonic mappings. First, we generalize the main results in \cite{CPW3} and \cite{HT}, and then discuss the relationship between area integral means and harmonic Hardy spaces or harmonic weighted Bergman spaces. At the end, coefficient estimates of mappings in weighted Bergman spaces are obtained.
Landau-Bloch constants for functions in $α$-Bloch spaces and Hardy spaces
SH. Chen,S. Ponnusamy,X. Wang
Mathematics , 2011,
Abstract: In this paper, we obtain a sharp distortion theorem for a class of functions in $\alpha$-Bloch spaces, and as an application of it, we establish the corresponding Landau's theorem. These results generalize the corresponding results of Bonk, Minda and Yanagihara, and Liu, respectively. We also prove the existence of Landau-Bloch constant for a class of functions in Hardy spaces and the obtained result is a generalization of the corresponding result of Chen and Gauthier.
Equivalent moduli of continuity, Bloch's theorem for pluriharmonic mappings in $\mathbb{B}^{n}$
SH. Chen,S. Ponnusamy,X. Wang
Mathematics , 2011,
Abstract: In this paper, we first establish a Schwarz-Pick type theorem for pluriharmonic mappings and then we apply it to discuss the equivalent norms on Lipschitz-type spaces. Finally, we obtain several Landau's and Bloch's type theorems for pluriharmonic mappings.
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