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$\bar{WT}$-Classes of Differential Forms on Riemannian Manifolds
Hongya, Gao,Zhihua, Gu,Yuming, Chu Department of Mathematics 2008 Kyungpook mathematical journal Vol.48 No.1
The purpose of this paper is to study the relations between quasilinear elliptic equations on Riemannian manifolds and differential forms. Two classes of differential forms are introduced and it is shown that some differential expressions are connected in a natural way to quasilinear elliptic equations.
Caccioppoli Type Inequality for Weak Solutions of A-harmonic Equation and Its Applications
Hongya Gao,Yinzhu Chen 경북대학교 자연과학대학 수학과 2004 Kyungpook mathematical journal Vol.44 No.3
In this paper, we use a sufficient and necessary condition of weak solutions of A-harmonic equation to obtain the Caccioppoli type inequality and reverse Hőlder inequality. As some applications of the above results, we derive the Lp-integrability, Hőlder continuity and almost everywhere differentiability for weak solutions of A-harmonic equation. The same results were given for the component functions of quasi regular mappings.
Densities and surface tensions of binary mixtures of biodiesel, diesel, and n-butanol
Hongya Yue,Zhigang Liu 한국화학공학회 2016 Korean Journal of Chemical Engineering Vol.33 No.5
Density and surface tension have been measured for mixtures of biodiesel+n-butanol, biodiesel+diesel, and diesel+n-butanol over the entire concentration range at 283.15 K and 293.15 K and atmospheric pressure, with the combined expanded uncertainties of 1.32 kg·m−3 and 1%, receptively. Densities were determined by a single-sinker densimeter; surface tensions were measured using the surface laser light scattering method. The experimental data showed that densities and surface tensions decreased as temperature increased. The excess surface tensions and excess densities were all negative, and further fitted to the Redlich-Kister equation.
Some Optimal Convex Combination Bounds for Arithmetic Mean
Hongya, Gao,Ruihong, Xue Department of Mathematics 2014 Kyungpook mathematical journal Vol.54 No.4
In this paper we derive some optimal convex combination bounds related to arithmetic mean. We find the greatest values ${\alpha}_1$ and ${\alpha}_2$ and the least values ${\beta}_1$ and ${\beta}_2$ such that the double inequalities $${\alpha}_1T(a,b)+(1-{\alpha}_1)H(a,b)<A(a,b)<{\beta}_1T(a,b)+(1-{\beta}_1)H(a,b)$$ and $${\alpha}_2T(a,b)+(1-{\alpha}_2)G(a,b)<A(a,b)<{\beta}_2T(a,b)+(1-{\beta}_2)G(a,b)$$ holds for all a,b > 0 with $a{\neq}b$. Here T(a,b), H(a,b), A(a,b) and G(a,b) denote the second Seiffert, harmonic, arithmetic and geometric means of two positive numbers a and b, respectively.
Unipolar photonic memristive-like nonlinear switching in split-ring resonator based metamaterials
Hongya Wu,Liang Xu,Shikao Shi,Guanglei Zhang,Guoqiang Qin,Caihui Wang,Gang Yu,Ji Zhou,Shuzhi Zheng 한국물리학회 2018 Current Applied Physics Vol.18 No.4
Photonic memristor, which performs the function as memristor working on electromagnetic fields, can accelerate the development of all-optical network. A unipolar photonic memristive-like switching behavior in split-ring resonator based metamaterials was reported. Transmission-power (T-P) loops are observed in the metamaterials. And the T-P loops change with the detect frequency which indicates the tunability and designability of the photonic memristor. These behaviors are attributed to the increasing dielectric constant of MgTiO3 ceramic caused by the interaction of sample and electromagnet field. The mechanism supplies a general foundation for photonic memristors which can be used from radio frequency to optical wavelength.
Three Characteristic Beltrami System in Even Dimensions (I): p-Harmonic Equation
Gao, Hongya,Chu, Yuming,Sun, Lanxiang Department of Mathematics 2007 Kyungpook mathematical journal Vol.47 No.3
This paper deals with space Beltrami system with three characteristic matrices in even dimensions, which can be regarded as a generalization of space Beltrami system with one and two characteristic matrices. It is transformed into a nonhomogeneous $p$-harmonic equation $d^*A(x,df^I)=d^*B(x,Df)$ by using the technique of out differential forms and exterior algebra of matrices. In the process, we only use the uniformly elliptic condition with respect to the characteristic matrices. The Lipschitz type condition, the monotonicity condition and the homogeneous condition of the operator A and the controlled growth condition of the operator B are derived.
Hei, Hongya,Gao, Jianjun,Dong, Jibin,Tao, Jie,Tian, Lulu,Pan, Wanma,Wang, Hongyu,Zhang, Xuemei Korean Society for Molecular and Cellular Biology 2016 Molecules and cells Vol.39 No.7
Large conductance calcium-activated potassium (BK) channels participate in many important physiological functions in excitable tissues such as neurons, cardiac and smooth muscles, whereas the knowledge of BK channels in bone tissues and osteoblasts remains elusive. To investigate the role of BK channels in osteoblasts, we used transcription activator-like effector nuclease (TALEN) to establish a BK knockout cell line on rat ROS17/2.8 osteoblast, and detected the proliferation and mineralization of the BK-knockout cells. Our study found that the BKknockout cells significantly decreased the ability of proliferation and mineralization as osteoblasts, compared to the wild type cells. The overall expression of osteoblast differentiation marker genes in the BK-knockout cells was significantly lower than that in wild type osteoblast cells. The BK-knockout osteoblast cell line in our study displays a phenotype decrease in osteoblast function which can mimic the pathological state of osteoblast and thus provide a working cell line as a tool for study of osteoblast function and bone related diseases.
Degenerate Weakly (k<sub>1</sub>, k<sub>2</sub>)-Quasiregular Mappings
Gao, Hongya,Tian, Dazeng,Sun, Lanxiang,Chu, Yuming Department of Mathematics 2011 Kyungpook mathematical journal Vol.51 No.1
In this paper, we first give the definition of degenerate weakly ($k_1$, $k_2$-quasiregular mappings by using the technique of exterior power and exterior differential forms, and then, by using Hodge decomposition and Reverse H$\"{o}$lder inequality, we obtain the higher integrability result: for any $q_1$ satisfying 0 < $k_1({n \atop l})^{3/2}n^{l/2}\;{\times}\;2^{n+1}l\;{\times}\;100^{n^2}\;\[2^l(2^{n+3l}+1)\]\;(l-q_1)$ < 1 there exists an integrable exponent $p_1$ = $p_1$(n, l, $k_1$, $k_2$) > l, such that every degenerate weakly ($k_1$, $k_2$)-quasiregular mapping f ${\in}$ $W_{loc}^{1,q_1}$ (${\Omega}$, $R^n$) belongs to $W_{loc}^{1,p_1}$ (${\Omega}$, $R^m$), that is, f is a degenerate ($k_1$, $k_2$)-quasiregular mapping in the usual sense.