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The Existence of Global Solution for a Class of Semilinear Equations on Heisenberg Group

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Chinese Quarterly Journal of Mathematics 2004年第4期19卷 426-435页

作者： ZHENG Zhu-jun, WANG Guo-an, LU Ke-ping,LUO Xue-bo(1. college of Mathematics and Information Science, henan university, kaifeng 475001, {3. 2.Institute of Mathematics, henan university, kaifeng 475001, {3. 3. Information Network Center, henan university, kaifeng 475001, {3. 4. Institute of Applied Mathematics, Northwestern Ploytechnical university, Xi'an 710072, {3.) college of Mathematics and Information Science Henan University Kaifeng 475001china institute of Mathematics Henan University Kaifeng 475001china Information Network Center Henan University Kaifeng 475001china college of Mathematics and Information Science Henan University Kaifeng 475001china Institute of Applied Mathematics Northwestern Ploytechnical University Xi'an 710072 china

Based on the concepts of a generalized critical point and the corresponding generalized P.S. condition introduced by Duong Minh Duc [1], we have proved a new Z2 index theorem and get a result on multiplicity of generalized critical points. Using the result and a quite standard variational method, it is found that the equation-ΔHnu = |u|p-1u,x∈Hnhas infinite positive solutions. Our approach can also be applied to study more general nonlinear problems.

关键词： subelliptic operator Z2 index Heisenberg group generalized critical point

GLOBALIZATION AND RESPONSE OF LARGE STATED-OWNED ENTERPRISES IN AGRICULTURAL RELATED INDUS-TRIES: COMPANY CASE STUDIES FROM CENTRAL china

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Chinese Geographical Science 2001年第2期11卷 120-128页

作者： LI Xiao-jian (college of Environment and Planning, henan university, kaifeng 475001, P.R.{3.) college of Environment and Planning Henan University Kaifeng P. R. China

By using interview data from three large state-owned enterprises (SOEs) in agriculture related industries, this paper reveals that SOEs in inland area are much slow in response to globalization. Although they pursued some strategies to adjust themselves, they are far behind the position to utilize the opportunities generated by economic globalization. Most of them are still out of the networks of transnational corporations. The strategies they adopted are quite different from SOEs in the coastal area. They overlook the importance of information infrastructure, well-educated personnel, and collaboration with the competitive leaders in their industries. The lagging situation is related to isolated location, traditional culture, and slow progress in enterprise reform. International comparison shows that the case companies did follow the general patterns that globalization promotes extension of company′s networks of linkages but in a rather slow phase. The decision makers should encourage intra-regional linkages between SOEs, between SOEs and private, foreign owned companies, as well as inter-regional linkages among them. The latter appears particularly important given the enlarging gaps between coastal and inland areas.

关键词： state-owned enterprise enterprise reform regional development globalization

Characteristics of fMRI BOLD signal and its neurophysiological mechanism

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Progress in Natural Science:Materials International 2007年第6期17卷 630-638页

作者： Zhao Xiaohu1,2, Wu Yigen3.and Guo Shengli3.1. college of Life Sciences, Zhejiang university, Hangzhou 3.0058, china 2. Imaging Department of Tongji Hospital of Tongji university, Shanghai 200065, china 3. college of Mathematics and Physics, Nanjing university of Information Science and Technology, Nanjing 210044, china) college of Life Sciences Zhejiang University Hangzhou 310058 China Imaging Department Tongji Hospital Tongji University Shanghai 200065 China college of Mathematics and Physics Nanjing University of Information Science and Technology Nanjing 210044 China

The functional magnetic resonance imaging (fMRI) based on blood oxygen level dependent (BOLD) contrast has emerged as one of the most potent noninvasive tools for mapping brain function and has been widely used to explore physiological, pathological changes and mental activity in the brain. Exploring the nature and property of BOLD signal has recently attracted more attentions. Despite that great progress has been made in investigation of the characteristics and neurophysiological basis, the exact nature of BOLD signal remains unclear. In this paper we discuss the characteristics of BOLD signals, the nonlinear BOLD response to external stimuli and the relation between BOLD signals and neural electrophysiological recordings. Furthermore, we develop our new opinions regarding nonlinear BOLD response and make some perspectives on future study.

关键词： functional magnetic resonance imaging blood oxygen level dependent nonlinear response neural electrophysiological activity.

Digital close-range photogrammetric application to small-scale physical simulation experiment

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中国有色金属学会会刊：英文版 2011年第S3期21卷 681-685页

作者： LI Chun-yi1, CUI Xi-min2, YU Yi-ju3.1. School of Surveying and Landing Information Engineering, henan Polytechnic university, Jiaozuo 454003. china 2. {3. of Geoscience and Surveying Engineering, china university of Mining and Technology, Beijing 100083. china 3. Surveying and Mapping Press, Beijing 100045, china [a] School of Surveying and Landing Information Engineering Henan Polytechnic University Jiaozuo 454003 China [b] college of Geoscience and Surveying Engineering China University of Mining and Technology Beijing 100083 China [c] Surveying and Mapping Press Beijing 100045 China

In order to research the possibility of digital close-range photogrammetric surveying in small scale physical simulation experiment, physical model coinciding with engineering practice was constructed based on similar theory. The datum processing method and surveying precision of digital close-range photogrammetric were analyzed. And the function relationship between overburden subsidence factor qr and the ratio z/H of stratum horizon z and mining depth H was researched. The results show that surveying points position mean error along horizontal direction is ±0.13. mm and vertical direction is ±0.192 mm. Therefore, multi-taking station cross direction digital close-range photogrammetric can completely satisfy the precision need of physical simulation experiment. And the empirical formula can be utilized to represent evolution law of stratum subsidence factor.

关键词： close-range photogrammetric physical simulation light-rays adjustment surveying precision subsidence factor

Peak structure in the interlayer conductance of Moirésuperlattices

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Chinese Physics B 2024年第10期33卷 376-380页

作者： Yizhou Tao Chao Liu Mingwen Xiao henan Fang college of Electronic and Optical Engineering&college of Flexible Electronics(Future Technology) Nanjing University of Posts and TelecommunicationsNanjing 210023China Department of Physics Nanjing UniversityNanjing 210093China

We investigate the peak structure in the interlayer conductance of Moirésuperlattices using a tunneling theory wedeveloped *** theoretical results predict that,due to the resonance of two different partial waves,the doublepeakstructure can appear in the curve of the interlayer conductance versus twist ***,we study the influencesof the model parameters,i.e.,the chemical potential of electrodes,the thickness of Moirésuperlattice,and the strength ofinterface potential,on the peak structure of the interlayer *** particular,the parameter dependence of the peakstructure is concluded via a phase diagram,and the physical meanings of the phase diagram is ***,thepotential applications of the present work is discussed.

关键词： Moirésuperlattice interlayer conductance electronic transport twistronics

ON THE DIVISION OF NORTH BOUNDARY OF SUBTROPICALZONE ACCORDING TO THE COMPOSITIONS AND PROPERTIES OF SOIL HUMUS

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Chinese Geographical Science 2002年第2期12卷 171-175页

作者： MA Jian hua, ZHAO Qing liang, HAN Jin xian(college of Environment &Planning, henan university, kaifeng 475001, P.R. {3.) college of Environment & Planning Henan University Kaifeng P. R. China

In this paper predecessors′achievements about the division between subtropical zone and warm temperate zone on the south slope of Funiu Mountain are firstly summarized, and the cause why these viewpoints about the division are different also has been presented. Seven soil profiles at different heights above sea level are dug along the south slope of Funiu Mountain. Many compositions and properties of soil humus have been analyzed in laboratory. A comprehensive study has been made about the division according to the compositions and properties of soil humus with mathematical method. During the analysis process eight indexes have been used, such as altitude, organic carbon, humic acid (HA), fulvic acid (FA), the ratio of humic acid and fulvic acid (HA/FA), two extinction coefficients (E4,E6), and their ratio (E4/E6).The result indicates that the boundary is at about 1000 meters above sea level.

关键词： funiu mountain north boundary of subtropical zone soil humus

Mathematic Expression of Kinetic Compensation Effect and Relationship between the Exothermic Decomposition Temperature and Critical Temperature of Thermal Explosion of Eighty-six Energetic Materials

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含能材料 2001年第1期9卷 8-9页

作者： HU Rong zu 1, YANG De suo 2, ZHANG Jiao qiang 3. (1. Department of Chemistry,Northwest university, Xi′an 710065, china 2. Department of Chemistry and Chemical Engineering, Baoji college of Arts and Science, Baoji 721007, china 3. Department of 西北大学陕西西安 710065 宝鸡文理学院陕西 721007 西北工业大学陕西西安 710072

Two relationships are established using the least squares method,between the kinetic parameters (the apparent activation energy and pre exponential constant),and the exothermic decomposition temperature and ther... 详细信息

关键词： critical temperature of thermal explosion decomposition temperature DSC energetic materials.

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, {3., china Academy of Mathematics Systems Science Chinese Academy of Sciences Beijing 100080 China college of Mathematics Information Sciences Henan University Kaifeng 475001 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.

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, university of Information Engineering, P. O. Box 1001 -747, Zhengzhou 450002, china college of Mathematical and Information Sciences, {3., kaifeng 475001, china Department of Mathematics, Beijing Normal university, Beijing 100875, china 1. Department of Applied Mathematics University of Information Engineering P.O.Box 1001-747 450002 Zhengzhou China 2. college of Mathematical and Information Sciences Henan University 475001 Kaifeng China 3. Department of Mathematics Beijing Normal University 100875 Beijing 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).