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Parabolic equation of the m-Laplacian with nonlinear boundary condition

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Chinese Science Bulletin 1998年第11期43卷 905-908页

作者： WANG Shu+ 1, 2. WANG Mingxin 3, XIE Chunhong 1 1. department of mathematics, Nanjing {2., Nanjing 2.0093, china 2. department of mathematics, henan {2., kaifeng 475001, china 3. department of Applied mathematics, Southeast {2., department of Mathernntics Nanjing University Nanjing China department of mathematics Henan University Kaifeng China department of Applied mathematics Southeast University Nanjing China

The existence and nonexistence of global positive weak solutions of parabolic equation of the m-Laplician with nonlinear boundary condition are dealt with. The necessary and sufficient conditions on the existence of a... 详细信息

关键词： nonlinear boundary condition parabolic equation of m-Laplacian global solution blow-up.

On the Exceptional Set for the Equation n=p+k^2

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Acta Mathematica Sinica,English Series 1995年第2期11卷 156-167页

作者： Wang Tianze department of mathematics {2. university kaifeng, 475001 china department of mathematics Henan University Kaifeng People's Republic of China

Denote by E（X） the number of integers n≤X which are not a sum of a prime and a square. Set θ=1-0.99442.b, where b≤min（0.9365/c3, 0.02.78/c4）, c3, c4 being given in Lemma 8. The result E（x） xθ is proved in th... 详细信息

关键词：三尸 On the Exceptional Set for the Equation n

Polynomial solutions of quasi-homogeneous partial differential equations

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Science china mathematics 2001年第9期44卷 1148-1155页

作者： LUO Xuebo ZHENG Zhujun Institute of Applied mathematics, Northwestern Polytechnical university, Xi’an 710072.{2. Institute of mathematics, henan university, kaifeng 475001,{2. Institute of Applied mathematics Northwestem Polytechnical University Xi’an China Institute of mathematics Henan University Kaifeng China

By means of a method of analytic number theory the following theorem is proved. Letp be a quasi-homogeneous linear partial differential operator with degreem,m > 0, w.r.t a dilation $\left\{ {\delta _\tau } \right\}{\text{ }}_{\tau< 0} $ given by ( a1, …, an). Assume that either a1, …, an are positive rational numbers or $m{\text{ = }}\sum\limits_{j = 1}^n {\alpha _j \alpha _j } $ for some $\alpha {\text{ = }}\left( {\alpha _1 ,{\text{ }} \ldots {\text{ }},\alpha _n } \right) \in l _ + ^n $ Then the dimension of the space of polynomial solutions of the equationp[u] = 0 on ?n must be infinite

关键词： quasi-homogeneous partial differential operator polynomial solution, dimension of the space of solution method of analytic number theory

Surface-induced interaction of colloidal particles in isotropic liquid crystals

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Communications in Theoretical Physics 2024年第7期76卷 114-122页

作者： Hualing Zhang kaifeng Weng Rui Ma department of Physics College of Physical Science and TechnologyXiamen UniversityXiamen 361005China Fujian Provincial Key Laboratory for Soft Functional Materials Research Research Institute for Biomimetics and Soft MatterXiamen UniversityXiamen 361005China

In this work,we study the interaction between two colloidal particles in a liquid crystal that is in the isotropic *** interaction is caused by surface-induced polarization of the liquid crystal molecules in the vicinity of the *** find that the interaction is short-ranged in both 2. and 3D *** symmetric homeotropic anchoring conditions,the interaction is *** under anti-symmetric homeotropic anchoring conditions,the interaction is repulsive at short distances but attractive at intermediate *** particle size has a strong impact on the effective interaction force.

关键词： surface-induced interaction colloidal particles liquid crystals

A novel homospermidine conjugate inhibits growth and induces apoptosis in human hepatoma cells

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Acta Pharmacologica Sinica 2007年第11期28卷 1827-1834页

作者： Song-qiang XIE~(2.3),Ying-liang WU~2.Peng-fei CHENG~4,Min-wei WANG~2.Guang-chao LIU~5,Yuan-fang MA~5,Jin ZHAO~4,Chao-jie WANG~(4,6)~2.department of Pharmacology,Shenyang Pharmaceutical university,Shenyang 110016,{2. ~3 Pharmacy College,henan university,kaifeng 475001,{2. ~4 Institute of Natural Products and Medicinal Chemistry,henan university,kaifeng 475001,{2.:~5 MedicalCollege,henan university,kaifeng 475001,{2. department of Pharmacology Shenyang Pharmaceutical University Shenyang China Pharmacy College Henan University Kaifeng China Institute of Natural Products and Medicinal Chemistry Henan University Kaifeng China Medical College Henan University Kaifeng China

Aim:To elucidate the mechanism responsible for the antiproliferative effects of anovel homospermidine conjugate,anthracenylmethyl homospermidine(ANTMHspd),in the human hepatoma BEL-7402.cell ***:The viabilityof the cells was assessed by MTT assay and the trypan blue dye exclusion *** changes were observed by fluorescence microscopy with Hoechst332.8 *** cycle distribution,apoptosis,and mitochondrial membranepotential were measured by flow *** expression was detected byWestern blot ***:ANTMHspd strongly decreased BEL-7402.cellproliferation in a dose-and time-dependent *** 332.8 staining andthe flow cytometry assay showed that ANTMHspd induced cell apoptosis andcell cycle ***,ANTMHspd could induce mitochondrialmembrane potential loss and cytochrome c release and enhance cleaved caspase-3,cleaved caspase-9,and Bax protein expression without caspase-8 *** could also decrease the expression of Bcl-2.and cytochrome c *** addition,the specific inhibitors of caspase-9 and caspase-3almost abolished the ANTMHspd-induced caspase-9 and caspase-3 activation,***:ANTMHspd could induce BEL-7402.cell apoptosis viathe mitochondrial/caspase-dependent pathway and the Bcl-2.family was involvedin the control of apoptosis.

关键词： polyamine apoptosis cell cycle mitochondrial membrane potential caspase Bcl-2

Pointwise estimates for the maximal multilinear singular integral operators

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Science china mathematics 2005年第12期48卷 1696-1706页

作者： HU Guo’en, LI Dengfeng & LU Shanzhen department of Applied mathematics, {2. of Information Engineering, P. O. Box 1001 -747, Zhengzhou 450002. china College of Mathematical and Information Sciences, henan {2., kaifeng 475001, china department of mathematics, Beijing Normal {2., Beijing 100875, china department of Applied mathematics University of Information Engineering Zhengzhou 450002 China College of Mathematical and Information Sciences Henan University Kaifeng 475001 China department of mathematics Beijing Normal University Beijing 100875 China

Two pointwise estimates relating the maximal multilinear singular integral operators and some classical maximal operators are established. These pointwise estimates imply the rearrangement estimate and the BLO(Rn) est... 详细信息

关键词： multilinear singular integral,maximal operator,BMO (Rn),BLO (Rn).

Doxepin protects cultured neurons against oxidative stress-induced injury

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Acta Pharmacologica Sinica 2004年第3期25卷 43-46页

作者： Bian-sheng JI,He JI1,Guo-qing LIU2.department of Pharmacology,china Pharmaceutical {2.,Nanjing 2.0009 1department of Medicine,henan {2.,kaifeng 475001,china department of Pharmacology China Pharmaceutical University Nanjing 210009 department of Mecine Henan University Kaifeng 475001

AIM: To investigate protective effects of doxepin (Dox) on cultured neuronal injury induced by oxidative stress. METHODS: Cytotoxicities of glutamate (Glu 0.5 mmol/L, 15 min), sodium dithionite (0.5 mmol/L, 2. h) or hemo- globin (Hb100 mg/L,2. h)and the protective effects of Dox were observed. RESULTS: Exposure of cultured neurons to Glu, sodium dithionite and Hb developed a neurotoxicity expressed in the thiazol blue tetrazolium bro- mide (MTT) assay, the increase of lactate dehydrogenase (LDH) leakage, malondialdehyde (MDA) content and intracellular [Ca2.]i accumulation, as well as the decrease of superoxide dismutase (SOD) activity. DOX 1-100 nmol/L significantly inhibited all above changes. CONCLUSION: Dox protects cultured neurons against oxidative stress-induced injury by suppressing intracellular [Ca2.]iaccumulation, decreasing lipid peroxide generation and stimulating antioxidant enzyme.

关键词： doxepin ischemia glutamic acid hemoglobins neurons

Explicit formula of holomorphic automorphism group on complex homogeneous bounded domains

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Science china mathematics 2006年第10期49卷 1392-1404页

作者： XU Yichao,CHEN Minru & MA Songya Academy of mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, china College of mathematics and Information Sciences, henan university, kaifeng 475001, china Academy of mathematics and Systems Science Chinese Academy of Sciences Beijing China College of mathematics and Information Sciences Henan University Kaifeng China

We known that the maximal connected holomorphic automorphism group Aut (D)(0) is a semi-direct product of the triangle group T(D) and the maximal connected isotropic subgroup Iso (D)(0) of a fixed point in the complex homogeneous bounded domain D and any complex homogeneous bounded domain is holomorphic isomorphic to a normal Siegel domain D(VN,F).In this paper, we give the explicit formula of any holomorphic automorphism in T(D(VN,F)) and Iso (D(VN, F))(0), where G(0) is the unit connected component of the Lie group G.

关键词： holomorphic automorphism group, homogeneous Siegel domain, normal Siegel domain, complex homogeneous bounded domain.

HONG　KONG　DIRECT　INVESTMENT　IN　china＇S　MAINLAND：　A　SPATIAL　STUDY　WITH　SPECIAL　REFERENCE　TO　THE　LOCATIONAL　BEHAVIOUR　OF　INVESTORS

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Chinese Geographical Science 1996年第4期6卷 289-303页

作者： Li Xiaojian(department of Geography, henan {2., kaifeng 475001, PRC) department of Geography Henan University Kaifeng PRC

The study shows that the regional differentiation of Hong Kong direct investement(HKDI) in china was enlarged in the 1980s and has has reducing since 1991. The concentration of HKDI in the southern china and the coast has has replace by the trend of moving northwards and iulandwards after 1989. But in terms of tnanofacturing sectors this trend has not clearly appeared until now. Those changing Patterns are dearly related to the behaviour of Hong Kong industrial *** survey results suggest that 'enjoying lower production cost' is the most important motive for thed investment in china. In consequece, 'close to Hong Kong','cheqper labour' and 'favourable policy' are major factors for determining the investment locations. This behaviour, together with the lack of comparison study in location selection among most investors, explains that Guangdong absorbed most Hong Kong investment in the 1980s. As the production costs have been increasing in Guangdong, are companies have started to invest in non-Guangdong locations since the end of the 1980s. From the mental map of Hong Kong investors, however, only some of the non-Guangdong locations are practically attractive.

关键词： investment location spatial behaviour of firms china Hong Kong