Existence of Solution for a Singular Biharmonic Equation Involving Critical Exponent 具临界指数及奇异性的双调和方程解的存在性
Uniqueness of the One-bubbling Solution for a Neumann Problem Involving the Critical Sobolev Exponent 一类带临界指标的Neumann问题解的唯一性
Existence and multiplicity results for Some Quasilinear Elliptic Equation with critical Sobolev-Hardy exponent 含有Sobolev-Hardy临界指数的拟线性椭圆方程解的存在性和多重性
Critical Exponent of a Doubly Degenerate Parabolic Equation in Non-divergence Form with Nonlinear Sources 具非线性源的非散度型扩散方程的临界指标
Semilinear Heat Equation with Critical Sobolev Exponent and Neumann Boundary Condition 具有Neumann边界及临界Sobolev指数的半线性抛物方程
The renormalization group approach is used to treat the problem of bond percolation on simple cubic lattice. The threshold p_c, the fractal dimension D and the critical exponent γ are obtained. 采用位置空间重整化群方法,对简立方格子(SC)键渗流模型进行了研究,得到了临界值pc、模型在相变点的分形维数D和临界指数γ。
Nodal radial solutions of the Quasilinear p-Laplace Equation Involving Critical Sobolev exponent in r~ n 具临界指数p-Laplace方程在R~N上的结点径向解
In this paper, a class of elliptic equations with critical exponent is studied. By applying the concentration-compactness principle and the Mountain Pass Lemma, the existence of the nontrivial solutions is proved in a bounded domain Ω R~ N. 研究了一类临界指数的非线性椭圆方程,运用集中紧性原理和山路引理,得到了该类方程在有界区域ΩRN中存在非平凡解。
A conjecture of super-universa-lity of the dynamical critical exponent 临界动力学指数的一个超普适性猜想
By solving the RG equations for disordered metallic superlattices with finite-lattice approximation, the fixed point and critical exponent have been calculated approximately. It is found that space-modulation may change the properties of electronic localization in disordered systems to some extent. 在有限晶格近似下,我们对无序金属超晶格的一个简化模型求解了RG方程,得到不动点和临界指数的近似值,并发现空间调制在一定程度上引起无序系统电子局域化性质的改变。
This paper deals with the existence of nontrivial solutions of some semilinear cooperative elliptic systems involving critical Sobolev exponent. 讨论了具临界Sobolev指数的半线性椭圆系统的非平凡解的存在性。
In the second chapter, combined with the two-dimension triangle lattice Ising model, we show the procedures of the renormalization group methods and illustrate how to apply these methods to solve critical exponent in detail. 在第二章中结合二维三角形晶格伊辛模型详细地介绍了重整化群方法的步骤以及如何应用重整化群方法来求解临界指数。
Abstract The Cauchy problem for a class of semilinear systems is considered in this paper, and blowing up critical exponent for the above problem is evaluated. 本文考察一类半线性抛物方程组的Cauchy问题,计算出了该问题的爆破临界指标。
The Bifurcation of Neumann Boundary Value Problems of Nonlinear Elliptic Equations Involving Critical Sobolev EXponent 临界增长非线性椭圆方程Neumann边值问题的分歧
An Elliptic Equation of Dirichlet Problems with Variable Coefficients and Critical Exponent 一类含临界指数及变系数的椭圆型方程Dirichlet问题解的存在性
Nontrivial solution to Dirichlet problem of a class of Quasilinear Elliptic Equations with critical exponent 一类临界增长拟线性椭圆Dirichlet问题的非平凡解
From then on, the Mountain Pass Lemma and the concentration-compactness method become the efficient method in concerning the existence of nontrivial solution of the nonlinear elliptic equation with critical exponent and the nonlinear elliptic equation in unbounded domains. 从此,没有(ps)条件的山路引理和集中列紧原理成为人们研究带临界增长的非线性椭圆型方程和无界域上非线性椭圆型方程非平凡解存在性的有力工具。
Within the resistively shunted junction ( RSJ) dynamics, besides the critical temperature TC, the static critical exponents 2 β/ ν and ν, and dynamic critical exponent z were obtained. 采用电阻分流结动力学,分别求出了临界温度TC,静态临界指数2β/ν、ν和动态临界指数z。
Critical Exponent and Universal Category of Nonequilibrium Phase Transform 非平衡相变临界指数及普适性
The traditional critical exponent 1/ ν z was estimated also. 估计了传统的临界指数1/νz。
Approximation on the Open Problem with Critical Sobolev Exponent 具临界指数开问题的一类逼近
Dependence of the critical exponent which denote the diffuseness on the tunneling frequency has been investigated with the eight-potential-well order-disorder ferro-electric model. 我们用八势阱有序无序模型研究了表征弥散度的临界指数随隧穿频率的依赖关系。
The results obtained are consistent with the critical exponent mean field results and can be interpreted by the Widom's scaling theory. 所取得的结果符合临界指数的标度律与Widom的标度理论。
Nontrivial solution of Quasilinear Elliptic Equations with critical Sobolev exponent and mixed boundary condition 具有临界增长的拟线性椭圆型混合边值问题的非平凡解
The critical exponent for a class of nonlocal reaction diffusion systems is discussed. 探讨了一类非局部反应扩散方程组的临界指数,结果表明所研究的临界指数属于方程组解的爆破情况;
Multiple Solutions for a Singular Elliptic Equation with Critical Sobolev-Hardy Exponent and Inhomogeneous Term 带非齐次项和Sobolev-Hardy临界指数的奇异椭圆方程的多解
Eigenvalue Problem of Quasilinear Elliptic Systems With Critical Exponent 具有临界指数的拟线性椭圆型方程的特征值问题
This paper corrected the error source of traditional renormalization group theory in two-dimensional and three-dimensional real space and used corrected renormalization group theory to determine the critical value of percolation and critical transport exponent. 本文逐项修正了二维及三维实空间传统重整化群理论的误差来源,并采用修正后的重整化群理论来确定渗流临界值和临界传输指数。
As a result, the critical exponent of extinction for the weak solutions is determined by the competition of two nonlinear terms, and decay estimates depend on the choices of initial data, coefficients and domain. 结果发现,弱解消失的临界指数是由两个非线性项的相互竞争来决定,且衰减估计值依赖于初始值、系数及区域的选取。