作者机构：
[Chen, Jingjing] Wuhan Text Univ, Coll Math & Comp Sci, Wuhan 430074, Peoples R China.;[Li, Shuchao] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Li, Shuchao] C;Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
摘要：
In this paper, we study a kind of nonlinear Schrödinger-Poisson system with a parameter ε. For any positive integer m, we prove that there exists ε(m) > 0 such that, for 0 < ε < ε(m), the equation has an m-bump positive solution under some suitable conditions. As a consequence, the equation has more and more multi-bump positive solutions as ε → 0.
作者机构：
[Zhang, Minjie; Li, Shuchao] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.;[Zhang, Minjie] Huangshi Inst Technol, Fac Math & Phys, Huangshi 435003, Peoples R China.
通讯机构：
[Li, Shuchao] C;Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
期刊：
Journal of Mathematical Physics,2011年52(3):032103 ISSN：0022-2488
通讯作者：
Chen, Zeqian
作者机构：
[Chen, Zeqian] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China.;[Liu, Chuangye] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.;[Chen, Zeqian] Chinese Acad Sci, Wuhan Inst Phys & Math, W Dist 30, Wuhan 430071, Peoples R China.
通讯机构：
[Chen, Zeqian] C;Chinese Acad Sci, Wuhan Inst Phys & Math, W Dist 30, Wuhan 430071, Peoples R China.
关键词：
Bose-Einstein condensation;initial value problems
摘要：
The purpose of this paper is to investigate the Cauchy problem for the Gross-Pitaevskii infinite linear hierarchy of equations on R(n), n >= 1. We prove local existence and uniqueness of solutions in certain Sobolev-type spaces H(xi)(alpha) of sequences of marginal density operators with alpha > n/2. In particular, we give a clear discussion of all cases alpha > n/2, which covers the local well-posedness problem for the Gross-Pitaevskii hierarchy in this situation. (C) 2011 American Institute of Physics. [doi:10.1063/1.3567168]
作者机构：
[Li, Yi] Univ Iowa, Dept Math, Iowa City, IA 52242 USA.;[Li, Yi] Xi An Jiao Tong Univ, Coll Sci, Xian 710049, Peoples R China.;[Peng, Shuangjie] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Li, Yi] U;Univ Iowa, Dept Math, Iowa City, IA 52242 USA.
摘要：
Let Omega be a bounded domain in R(N) (N >= 2), phi a harmonic function in (Omega) over bar. In this paper we study the existence of solutions to the following problem arising in the study of vortex pairs (P(lambda)) {-Delta u =lambda(u - phi)(+)(p-1), x is an element of Omega, u = 0, x is an element of partial derivative Omega. The set Omega(p) = {x is an element of Omega, u(x) > phi}phi is called "vortex core". Existence of solutions whose "vortex core" consists of one component and asymptotic behavior of "vortex core" were studied by many authors for large lambda recently. Under the condition that phi has k strictly local minimum points on the boundary partial derivative Omega, we obtain in this paper that for lambda large enough, (P(lambda)) has a solution with "vortex core" consisting of k components by a constructive way. (C) 2010 Elsevier Inc. All rights reserved.
作者机构：
[Wang, Li] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.;[Wei, Qiaoling; Kang, Dongsheng] S Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Peoples R China.
通讯机构：
[Kang, Dongsheng] S;S Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Peoples R China.
摘要：
In this paper, the following problem is considered: {-Delta(p)u - mu vertical bar u vertical bar(p-2)u vertical bar x vertical bar(p) = lambda f (x)vertical bar u vertical bar(q-2)u + g(x)vertical bar u vertical bar(p)*(-2)u, x is an element of Omega, u = 0, x is an element of Omega, where Omega subset of R(N) is a bounded domain such that 0 is an element of Omega, 1 < q < p, lambda > 0, mu < <(mu)over bar>, f and g are nonnegative functions, (mu) over bar = (N-p/p)(p) is the best Hardy constant and p* = Np/N-p is the critical Sobolev exponent. By extracting the Palais-Smale sequence in the Nehari manifold, the existence of multiple positive solutions to this equation is verified. (C) 2010 Elsevier Ltd. All rights reserved.
作者机构：
[Deng Qintao] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China.;[Deng Qintao] Huazhong Normal Univ, Lab Nonlinear Anal, Wuhan 430079, Peoples R China.;[Deng Qintao] Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Deng Qintao] S;Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China.
关键词：
k-weighted bi-Ricci curvature;finite index;constant mean curvature
摘要：
In this article,we prove that any complete finite index hypersurface in the hyperbolic space H4(-1)(H5(-1))with constant mean curvature H satisfying H 2>6463(H~2>175148respectively)must be compact. Specially,we verify that any complete and stable hypersurface in the hyperbolic space H~4(-1)(resp. H~5(-1))with constant mean curvature H satisfying H~2>6463(resp. H2>175148)must be compact. It shows that there is no manifold satisfying the conditions of some theorems in[7,9]
会议名称：
IEEE international conference on emergency management and management sciences
会议时间：
2012-08-10
会议地点：
Beijing(CN)
会议主办单位：
[Yang Shi-da;Shan Zhi-yong] Wuhan Univ Sci & Technol, Coll Comp Sci & Technol, Wuhan 430072, Hubei, Peoples R China.^[Yi Ya-lin] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.^[Shan Zhi-yong] Donghua Univ, Coll Informat Sci & Technol, Shanghai 200051, Peoples R China.
会议论文集名称：
Proceedings of 2012 IEEE 3rd international conference on emergency management and management sciences
关键词：
artificial chemical reaction optimization algorithm;Numerical optimization
摘要：
Chemical reaction(ACR) optimization algorithm invented recently by Bilal Alatas is a heuristics algorithm. However, there is still an insufficiency in ACR algorithm regarding its solution search equation, which is good at exploration but poor at exploitation. Inspired by Particle swarm optimization, we propose an improved ACR algorithm called gbest-guided ACR (GACR) algorithm by incorporating the information of global best (gbest) solution into the solution search equation to improve the exploitation. The experimental results tested on a set of numerical benchmark functions show that GACR algorithm can outperform ACR algorithm in most of the experiments
摘要：
Bifurcations of periodic orbits of three-well Duffing system with a phase shift are investigated in detail. The conditions of the existence and bifurcations for harmonics, subharmonics (2-order, 3- order and m-order) and superharmonics under small perturbations are given by using second-order averaging method and Melnikov's method. The influence of the phase shift on the dynamics is also obtained.
作者机构：
[Feng, Yanqin] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China.;[Wang, Jinde] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China.;[Zuo, Guoxin] Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Feng, Yanqin] W;Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China.
关键词：
Asymptotic distribution;chi-bar-squared distribution;likelihood ratio test;stratified data;umbrella order
摘要：
Trend test in dose-response has been a central problem in medicine. This paper treats the problem of comparing umbrella pattern treatment effects. Under an ordered m x r x k table, this article considers testing the hypothesis that all multinomial populations are conditional independence against the alternative that they are in an umbrella trend. For this hypothesis test problem, this article introduces a model-free test method by using likelihood ratio test statistic and gives the asymptotic distribution of the test statistic. Simulation study is conducted to compare the empirical power performed via the proposed method and others. Finally, two real data are studied to illustrate the validity of the proposed method.
