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Applied Mathematics(A Journal of Chinese Universities) 2022年第2期37卷 159-176页

作者： SHEN wen-guo Department of Basic Courses Lanzhou Institute of TechnologyLanzhou 730050China

In this paper,we establish a unilateral global bifurcation result from interval for a class problem with mean curvature operator in Minkowski space with non-differentiable *** applications of the above result,we shall prove the existence of one-sign solutions to the following problem{−div(√∇v 1−|∇v|^(2))=α(x)v^(+)+β(x)v^(−)+λa(x)f(v),in B_(R)(0),v(x)=0,on∂B_(R)(0),whereλ≠=0 is a parameter,R is a positive constant and BR(0)={x∈RN:|x|0 for s≠=0,and f_(0)∈[0,∞],where f0=lim_(|s|)→0 f(s)/*** use unilateral global bifurcation techniques and the approximation of connected components to prove our main *** also study the asymptotic behaviors of positive radial solutions asλ→+∞.

关键词： interval bifurcation unilateral global bifurcation one-sign solutions mean curvature operator

Equivalence of three kinds of well-posed-ness of discontinuous Riemann-Hilbert problem for elliptic complex equation in multiply connected domains

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Applied Mathematics(A Journal of Chinese Universities) 2014年第2期29卷 183-193页

作者： wen guo-chun LMAM School of Mathematical Sciences Peking University

In this article, we first introduce the general linear elliptic complex equation of first order with certain conditions, and then propose discontinuous Riemann-Hilbert problem and some kinds of modified well-posed-ness for the complex equation. Then we verify the equivalence of three kinds of well-posed-ness. The discontinuous boundary value problem possesses many applications in mechanics and physics etc.

关键词： Discontinuous Riemann-Hilbert problems linear elliptic complex equation equivalence of threekinds of well-posed-ness multiply connected domains.

The oblique derivative problem for nonlinear elliptic complex equations of second order in multiply connected unbounded domains

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Applied Mathematics(A Journal of Chinese Universities) 2013年第2期28卷 127-137页

作者： wen guo-chun LMAM School of Mathematical SciencesPeking University

In this article,we discuss that an oblique derivative boundary value problem for nonlinear uniformly elliptic complex equation of second order with the boundary conditions in a multiply connected unbounded domain *** above boundary value problem will be called Problem *** certain conditions,by using the priori estimates of solutions and Leray-Schauder fixed point theorem,we can obtain some results of the solvability for the above boundary value problem（0.1） and（0.2）.

关键词： Oblique derivative problem nonlinear elliptic complex equation multiply connected unboundeddomain.

Riemann-Hilbert problem for first order complex equations of mixed type with degenerate curve

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Applied Mathematics(A Journal of Chinese Universities) 2010年第3期25卷 253-263页

作者： wen guo-chun School of Mathematical Sciences Peking University Beijing 100871 China

This paper considers the Riemann-Hilbert problem for linear mixed（elliptichyperbolic） complex equations of first order with degenerate curve in a simply connected domain. We first give the representation theorem and uniqueness of solutions for such boundary value problem. Then by using the methods of successive iteration and parameter extension, the existence of solutions for this problem is proved.

关键词： Riemann-Hilbert problem mixed complex equations of first order degenerate curve.

Finite Groups with Seminormal Sylow Subgroups

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Acta Mathematica Sinica,English Series 2008年第10期24卷 1751-1757页

作者： wen Bin guo Department of Mathematics Xuzhou Normal University Xuzhou 221116 P. R. China Department of Mathematics University of Science and Technology of China Hefei 230026 P. R. China

In this paper, we prove the following theorem： Let p be a prime number, P a Sylow psubgroup of a group G and π = π（G）／ {p}. If P is seminormal in G, then the following statements hold： 1） G is a p-soluble group and P＇ ≤ Op（G）; 2） lp（G） ≤ 2 and lπ（G） ≤ 2; 3） if a π-Hall subgroup of G is q-supersoluble for some q ∈ π, then G is q-supersoluble.

关键词： finite groups seminormal subgroups Sylow subgroups p-soluble groups p-supersoluble groups

Monte Carlo Simulations of Classical O(2) Model on Nice Tree and Bethe Lattice

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Chinese Physics Letters 1996年第7期13卷 496-499页

作者： guo wen-an YANG Zhan-ru Department of Physics and Institute of Theoretical PhysicsBeijing Normal UniversityBeijing 100875 CCAST(World Laboratory) P.O.Box 8730Beijing 100080

The Metropolis Monte Carlo algorithm is applied to a classical O(2)model on nice tree and Bethe ***-size scaling theory is applied to estimate the critical *** results show that the continuous symmetry may not be spontaneously broken even if d_(f)≥d_(w)+1 where df and dw are the fractal dimension and the dimension of the random walk on the structure respectively or even if the random walk on the structure is transient.

关键词： temperature Bethe dimension

Micro-management of pluripotent stem cells

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Protein & Cell 2014年第1期5卷 36-47页

作者： wen-Ting guo Xi-wen Wang YangmingWang Peking-Tsinghua Center for Life Sciences Institute of Molecular Medicine Peking University Beijing 100871 China

Embryonic and induced pluripotent stem cells （ESCs and iPSCs） hold great promise for regenerative medi- cine. The therapeutic application of these cells requires an understanding of the molecular networks that regu- late pluripotency, differentiation, and de-differentiation. Along with signaling pathways, transcription factors, and epigenetic regulators, microRNAs （miRNAs） are emerging as important regulators in the establishment and maintenance of pluripotency. These tiny RNAs control proliferation, survival, the cell cycle, and the pluripotency program of ESCs. In addition, they serve as barriers or factors to overcome barriers during the reprogramming process. Systematic screening for novel miRNAs that regulate the establishment and mainte- nance of pluripotent stem cells and further mechanistic investigations will not only shed new light on the biology of ESCs and iPSCs, but also help develop safe and efficient technologies to manipulate cell fate for regen- erative medicine.

关键词： stem cells miRNA pluripotency,reprogramming

Portfolio Optimization with Uncertain Exit Time in Infinite-Time Horizon

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Acta Mathematicae Applicatae Sinica 2013年第4期29卷 673-684页

作者： wen-jing guo Jun CAI School of Finance University of Finance and Economics Department of Statistics ang Actuarial Science University of Waterloo

In this paper, we study infinite-period mean-variance formulations for portfolio selections with an uncertain exit time. We employ the convergence control method together with the dynamic programming algorithm to derive analytical expressions for the optimal portfolio policy and the mean-variance efficient frontier under certain conditions. We illustrate these results by an numerical example.

关键词： infinite-time horizon mean-variance formulation stochastic optimal control dynamic programming algorithm optimal investment policy efficient frontier exit time

Finding a Probe for Extracting Information on the Momentum Dependent-Interaction in Heavy Ion Collisions

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Chinese Physics Letters 2010年第6期27卷 70-73页

作者： LIU Jian-Ye guo wen-Jun College of Mathematics-Physics and Information Tianshui Normal University Tianshui 741001 Institute of Modern Physics Chinese Academy of Sciences PO Box 31 Lanzhou 730000 Science College University of Shanghai for Science and Technology Shanghai 200093 Center of Theoretical Nuclear Physics National Laboratory of Heavy Ion Accelerator Lanzhou 730000

The effect of momentum-dependent interaction on the kinetic energy spectrum of the neutron-proton ratio （（n/p）gas）b（ Ek ） for 64Zn ＋64Zn is studied. It is found that （（n/p）gas）b（ Ek ） sensitively depends on the momentumdependent interaction and weakly on the in-medium nucleon-nucleon cross section and symmetry potential. Therefore （（n/p）gas）b（ Ek ） is a possible probe for extracting information on the momentum-dependent interaction in heavy ion collisions.

关键词： DATA mining ANGULAR momentum (Nuclear physics) HEAVY ion collisions STOPPING power (Nuclear physics) NEUTRON-proton interactions SYMMETRY (Physics) CROSS sections (Nuclear physics)

New Discoveries of Domination Between Traffic Matrices

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Acta Mathematicae Applicatae Sinica 2017年第3期33卷 561-566页

作者： Peng-fei LIU wen-guo YANG Tian-de guo School of Mathematics Sciences University of Chinese Academy of SciencesBeijing 100049China Key Laboratory of Big Data Mining and Knowledge Management Chinese Academy of SciencesBeijing 100049China

In this paper the definition of domination is generalized to the case that the elements of the traffic matrices may have negative values. It is proved that D3 dominates D3 ＋ λ（D2 - D1） for any λ ≥0 if D1 dominates D2. Let u（D） be the set of all the traffic matrices that are dominated by the traffic matrix D. It is shown that u （ D∞） and u （D ∈） are isomorphic. Besides, similar results are obtained on multi-commodity flow problems. Fhrthermore, the results are the generalized to integral flows.

关键词： robust network design multi-commodity flows domination