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Nodal solutions for fractional Schrodinger-Poisson problems

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Science China Mathematics 2020年第11期63卷 2267-2286页

作者： Wei Long jianfu yang Weilin Yu College of Mathematics and Information Science Jiangxi Normal UniversityNanchang 330022China

In this paper,we consider the following fractional Schrodinger-Poisson problem:{ε^2s(-Δ)^su+V(x)u+φu=|u|^p-1u,x∈R^N,(-Δ)^tφ=u^2,x∈R^N,where ε>0 is a small parameter,N≥3 and V(x)is a potential *** construct no... 详细信息

关键词： multipeak solutions fractional Schrodinger-Poisson system reduction method

MULTIPLE SOLUTIONS TO CRITICAL MAGNETIC SCHRODINGER EQUATIONS

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Acta Mathematica Scientia 2024年第4期44卷 1373-1393页

作者： Ruijiang WEN jianfu yang School of Mathematics and Statistics Jiangri Normal UniversityNanchang 330022China

In this paper,we are concerned with the existence of multiple solutions to the critical magnetic Schrödinger equation(-i▽-a(x))^(2)u+⒂λV(x)u=p|u|^(p-2)u+(∫R(n)|u(y)|^(2)_(a)^(*)/|x-y|^(a)dy)|u|2_(a)^(*)-2_(u)in R^(N),(0.1)where N≥4,2≤p0,μ∈R,A(x)=(A_(1)(x),A_(2)(x),…,A_(N)(x))is a real local Hölder continuous vector function,i is the imaginary unit,and V(x)is a real valued potential function on R^(N).Supposing thatΩ=int V^(-1)(0)■R^(N)is bounded,we show that problem(0.1)possesses at least cat_(Ω)(Ω)nontrivial solutions ifλis large.

关键词： critical magnetic Schrödinger equation multiple solutions Ljusternik-Schnirelman theory

Discovery of Quaternary glacial evidence of Snow Mountain in Taiwan, China

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Chinese Science Bulletin 2000年第6期45卷 566-571页

作者： CUI Zhijiu yang jianfu LIU Gengnian WANG Xin SONG Guocheng Department of Geography Peking UniversityBeijing 100871China Department of Geography Taiwan UniversityTaibeiChina Department of Earth Science Chenggong UniversityTainanChina

There are glacial remains of three different periods on the main peak of Snow Mountain in Taiwan province, including cirque lake, crosswall, polished surface, striation, moraine ete. These three different periods were called, respectively, Shanzhuang ((44.25 ± 3.72) kaBP), Shuiyuan ((18.26 ± 1.52) kaBP), and Xueshan glacial stages (the late period of last glaciation). it is characterized by the earlier glacier broad in scale.

关键词： Snow Mountain peak last glaciation three glacier remains evidence.

OSCILLATIONS OF HIGHER ORDER ORDINARY DIFFERENTIAL EQUATION WITH IMPULSES

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Annals of Differential Equations 2005年第4期21卷 616-628页

作者： Zhang Chaolong yang jianfu Dept. of Math. Zhongkai Agrotechnical College Guangzhou 510225 Dept. of Math. South China Normal University Guangzhou 510631

Sufficient conditions to guarantee the oscillations of higher order ODE with impulses are obtained. The importance of the impulsive effect on the oscillations of higher order differential equation is stressed.

关键词： higher order ODE impulses oscillation

EXISTENCE　OF　MULTIPLE　SOLUTIONS　AND　BIFURCATIONFOR　CRITICAL　SEMILINEAR　BIHARMONIC　EQUATIONS

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Systems Science and Mathematical Sciences 1995年第4期8卷 319-326页

作者： DENG Yinbin(Department of Mathematics,Huazhong Normal University,Wuhan 430070,China)yang jianfu(Department of Mathematics,Nanchang University,Nanchang 330047,China)

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ＥＸＩＳＴＥＮＣＥＯＦＭＵＬＴＩＰＬＥＳＯＬＵＴＩＯＮＳＡＮＤＢＩＦＵＲＣＡＴＩＯＮＦＯＲＣＲＩＴＩＣＡＬＳＥＭＩＬＩＮＥＡＲＢＩＨＡＲＭＯＮＩＣＥＱＵＡＴＩＯＮＳＥＸＩＳＴＥＮＣＥＯＦＭＵＬＴＩＰＬＥＳＯＬＵＴＩＯＮＳＡＮＤＢＩＦＵＲＣＡＴＩＯＮＦ...

关键词： Biharmonic equation critical exponent multiple solutions bifurcation.

What Affects Male Sexual Activity: A Comprehensive Review

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Health 2023年第12期15卷 1366-1389页

作者： Jingxuan Peng Boyu Xiang jianfu yang Yuxin Tang Dongjie Li Zhengyan Tang Department of Urology Xiangya Hospital Central South University Changsha China Department of Urology First Affiliated Hospital of Jishou University Jishou China Andrology Center The Third Xiangya Hospital of Central South University Changsha China Department of Urology The Third Xiangya Hospital of Central South University Changsha China Department of Urology The Fifth Affiliated Hospital of Sun Yat-sen University Zhuhai China Guangdong Provincial Key Laboratory of Biomedical Imaging The Fifth Affiliated Hospital Sun Yat-sen University Zhuhai China

The fundamental importance of sex lies in the need for reproduction and species continuity. For humans, sexual expression is an important source of physical pleasure and emotional intimacy. Healthy sexual expression is closely related to well-being, health and overall quality of life in both men and women. Sexual activity is also considered an important determinant of quality of life. At present, questions about sex are still largely ignored in routine consultations in almost all medical specialties. The factors affecting sexual activity are complex and can be divided into the influence of bio-psycho-sociological factors. Biological influences include anthropometric parameters, sexual function, lifestyle, neuroendocrine system, and diseases;psychological influences include psychological status, mental illness, and sexual attitudes;sociological influences include factors such as marriage, occupation, and economic status. With the epidemic and outbreak of Coronavirus disease 2019 (COVID-19), people’s way of life and work has changed, which also has a great impact on sexual activities. This article will provide a systematic review of factors related to male sexual activity.

关键词： Sexual Activity Andrology Sexual Health Influencing Factors

Research on Management Innovation of Talents Cultivation Mode in Medical Undergraduate Education under the Background of Medical Education Collaboration——The Application Effect and Analysis of Hierarchical Teaching of Nursing Students

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Research on Management Innovation of Talents Cultivation Mod...

POSITIVE SOLUTIONS FOR WEAKLY COUPLED NONLINEAR ELLIPTIC SYSTEMS

作者： jianfu yang Xing Li Fenglan Mao Ting Li Yin Jia Gansu Medical College Longdong University

Talents are the first resources of health and wellness,Medical and educational collaboration can promote the reform and development of medical *** our research,nursing trainee who attend to the training from March 2017 to December 2017 in Gansu Medical College were selected as intervention groups,which participate in the hospital-organized hierarchical ***,Nursing interns trained from April 2017 to November 2017 served as control group,they are training according to conventional *** compared the training effect of the two *** was found that in the following area that nursing quality scores of the intervention group were significantly higher than those of the control group,for instance,basic nursing(95.43±2.29),nursing safety(94.23±3.57),health education(95.26±1.52),ward management(96.22±1.38),nosocomial infection(96.54±1.69),nursing documents(97.54±2.16) and so *** training,the learning ability,evaluation intervention ability,communication ability,critical thinking ability,management leadership ability,cross-cultural nursing ability,professional theory,professional skills,education and knowledge comprehensive ability of nursing staff in intervention group were significantly higher than those in control *** one month of clinical work,the satisfaction rate of the intervention group was 100% while control group was 91.03%.The conclusions that we mentioned above have great significant in optimizing Nursing Management by Hierarchical Teaching for Nursing Interns in Medical Undergraduate Colleges,improving the comprehensive ability of nursing interns,and enhancing the level of nursing quality.

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Acta Mathematica Scientia 2010年第5期30卷 1577-1592页

作者：龙静杨健夫 Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences Graduate School Chinese Academy of Sciences Department of Mathematics Jiangxi Normal University

In this article, we consider the existence of positive solutions for weakly coupled nonlinear elliptic systems {-△u＋u=（1＋a（x））｜u｜P-1u＋μ｜u｜a-2u｜v｜β＋λv in Rn,-△u＋u=（1＋b（x））｜v｜p-1v＋μ｜u｜a｜v｜β-2v＋λu in Rn To find nontrivial solutions, we first investigate autonomous systems. In this case, results of bifurcation from semi-trivial solutions are obtained by the implicit function theorem. Next, the existence of positive solutions of problem （0.1） is obtained by variational methods.

关键词： Elliptic system in RN positive solution bifurcation variational method

OSCILLATIONS OF IMPULSES DELAY DIFFERENTIAL EQUATIONS WITH FORCING TERM

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Annals of Differential Equations 2006年第1期22卷 95-100页

作者： Zhang Chaolong yang jianfu Guo Chengjun Dept. of Computation Science Zhongkai University of Agriculture and Technology Guangzhou 510225 Dept. of Math. South China Normal University Guangzhou 510631 Dept. of Basic Science Guangdong Technical College of Water Resource and Electric Engineering Guangzhou 510631

A kind of extended first order impulses nonlinear FDE with forcing term is studied in this paper. Several criteria on the oscillations of solutions are given. We find some suitable impulse functions such that all the ... 详细信息

关键词： impulses FDE oscillation forcing term