检索结果-南通市图书馆

A scheme to fix multiple solutions in amplitude analyses

在线全文

学校读者我要写书评

暂无评论

Chinese Physics C 2024年第5期48卷 8-22页

作者：高原宁荣天泽杨振伟张辰佳张艳席 School of Physics Peking UniversityBeijing 100871China

Decays of unstable heavy particles usually involve the coherent sum of several amplitudes,like in a multiple slit *** amplitude analysis techniques have been widely used to resolve these amplitudes for better understanding of the underlying *** special cases where two spin-1/2 particles and two(pseudo-)scalar particles are present in the process,multiple equivalent solutions are found owing to intrinsic symmetries in the summed probability density *** this study,the problem of multiple solutions is discussed,and a scheme to overcome this problem is proposed by fixing some free *** are generated to validate the strategy.A new approach to align the helicities of initial-and final-state particles in different decay chains is also introduced.

关键词： amplitude analysis multiple solutions helicity formalism

multiple solutions for a Class of Singular Boundary Value Problems of Hadamard Fractional Differential Systems with p-Laplacian Operator

在线全文

学校读者我要写书评

暂无评论

Journal of Applied Mathematics and Physics 2024年第9期12卷 3114-3134页

作者： Chen Wang Yansheng Liu School of Mathematics and Statistics Shandong Normal University Jinan China

This paper discusses the existence and multiplicity of positive solutions for a class of singular boundary value problems of Hadamard fractional differential systems involving the p-Laplacian operator. First, for the sake of overcoming the singularity, sequences of approximate solutions to the boundary value problem are obtained by applying the fixed point index theory on the cone. Next, it is demonstrated that these sequences of approximate solutions are uniformly bounded and equicontinuous. The main results are then established through the Ascoli-Arzelà theorem. Ultimately, an instance is worked out to test and verify the validity of the main results.

关键词： multiple solutions Fixed Point Index Theory Nonlinear Fractional Differential Systems Hadamard Fractional Derivative

multiple solutions OF NONHOMOGENEOUS FOR RELATED CHOQUARD'S EQUATION

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2000年第3期20卷 374-379页

作者：张正杰 Department of Mathematics Huazhong Normal University Wuhan 430079 China

This paper considers the existence of solutions for the following problem: where v(x) be a continuous function on R3,v(x) < 0, v(x) 0, (as x ); g(x) 0,g(x) 0 and g(x) E H-1 (R3). The author proves that there exi... 详细信息

This paper considers the existence of solutions for the following problem: where v(x) be a continuous function on R3,v(x) solutions for the above problem.

关键词： multiple solutions existence Choquard's equation

multiple solutions FOR AN INHOMOGENEOUS SEMILINEAR ELLIPTIC EQUATION IN R^N

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2003年第1期23卷 1-15页

作者：邓引斌李亦赵学进 Department of Mathematics Huazhong Normal University Wuhan 430079 China Department of Mathematics University of Iowa Iowa City IA 52242 USA

In this paper, the authors study the existence and nonexistence of multiple positive solutions for problem(*)μwhere h ∈ H-1(RN), N ≥ 3, |f(x,u)| ≤ C1up-1 + C2u with C1 > 0, C2∈ [0,1) being some constants and 2 solutions for (*)μ if μ, > μ* and uμ is increasing with respect to μ∈ (0,μ*); furthermore, problem (*)μ has at least two positive solution for μ ∈ (0,μ*) and a unique positive solution for μ, =μ* if p ≤2N/N-2.

关键词： multiple solutions variational method elliptic equations

multiple solutions for the Klein-Gordon-Maxwell System with Steep Potential Well

在线全文

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2021年第1期37卷 155-165页

作者： Xiao-qi LIU Chun-lei TANG School of Mathematics and Statistics Southwest UniversityChongqing 400715China

In this paper,we concern the Klein-Gordon-Maxwell system with steep potential well{-△u+(λa(x)+1)u-(2w+φ)φu=f(x,u),in R^3-△φ=-(w+)u^2,in R^3 Without global and local compactness,we can tell the difference of mult... 详细信息

关键词： Klein-Gordon-Maxwell system steep potential well multiple solutions variational methods

multiple solutions FOR THE SCHR?DINGER-POISSON EQUATION WITH A GENERAL NONLINEARITY

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2021年第3期41卷 703-711页

作者： Yongsheng JIANG Na WEI Yonghong WU School of Statistics and Mathematics Zhongnan University of Economics and LawWuhan 430073China Department of Mathematics and Statistics Curtin UniversityGPO Box U 1987WA 6845Australia

We are concerned with the nonlinear Schrödinger-Poisson equation{−Δu+(V(x)−λ)u+ϕ(x)u=f(u),−Δϕ=u^(2),lim|x|→+∞ϕ(x)=0,x∈R^(3),(P)whereλis a parameter,V(x)is an unbounded potential and f(u)is a general *** prove t... 详细信息

关键词： multiple solutions ground state solution Schrodinger-Poisson equation

multiple solutions for a Schrdinger-Poisson-Slater equation with external Coulomb potential

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2014年第6期57卷 1163-1174页

作者： JIANG YongSheng ZHOU HuanSong School of Statistics and Mathematics Zhongnan University of Economics and Law Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences

Consider the following Schr？dinger-Poisson-Slater system, （P） where ω 〉 0, λ 〉 0 and β 〉 0 are real numbers, p ∈ （1, 2）. For β=0, it is known that problem （P） has no nontrivial solution if λ 〉 0 suitably large. When β 〉 0, -β/｜x｜ is an important potential in physics, which is called external Coulomb potential. In this paper, we find that （P） with β 〉 0 has totally different properties from that of β = 0. For β 〉 0, we prove that （P） has a ground state and multiple solutions if λ 〉 cp,ω, where cp,ω 〉 0 is a constant which can be expressed explicitly via ω and p.

关键词： elliptic equation multiple solutions Schrodinger-Poisson-Slater equation Coulomb potential

multiple solutions OF NONHOMOGENEOUS CHOUQUARD'S EQUATIONS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2001年第1期17卷 47-52页

作者：张正杰 Department of Mathematics Huazhong Normal University Wuhan China

In this paper, we consider the existence of solutions for the following equation: where g(x)≥0, g(x)0, and g(x)∈H-1(R3). We prove that there exists a constant C, if ||g(x)||H-1 ≤C, there are at least two solutions ... 详细信息

关键词： multiple solutions Existence Choquard's Equation

multiple solutions and Its Morse Index for One-Dimensional Nonlinear Problem

在线全文

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2004年第2期20卷 317-322页

作者： Zi-qingXie Chuan-miaoChen InstituteofComputation HunanNormalUniversityChangshaHunanChina

The multiple solutions for one-dimensional cubic nonlinear problem u'+u^3=0,u(0)=u(π)=0are computed,on the basis of the eigenpairs of-φ'_k=λ_(kφk),k=1,2,3....There exist two nonzero solutions±u_k corresponding to each k,and their Morse index MI(k) for 1(?)k(?)20 is to be exactly *** isshown by the numerical results that MI(k)(?)k.

关键词： Nonlinear problem multiple solutions series expression Morse index