单纯形法计算薄膜常数

本文首次报道了用单纯形加速法计算正常兔ＩｇＧ抗原与羊－抗兔抗体反应的抗体层厚度和光学常数，该方法假定抗体层厚度、光学常数均为时间的函数，避免了以往只假定厚度为时间函数所造成的误差。结果表明该方法计算抗体层薄膜常数是可行的。     

Liénard系统的同宿轨族与闭轨族

本文讨论Lienard系统解的一些定性性质，得到了存在同宿轨族、闭轨族、双曲扇形和椭圆扇形、正负半轨有界及其与等倾线相交的充要条件或充分条件．     

Existence of Entire Solutions of a Singular Semilinear Elliptic Problem

In this paper, we obtain some existence results for a class of singular semilinear elliptic problems where we improve some earlier results of Zhijun Zhang. We show the existence of entire positive solutions without the monotonic condition imposed in Zhang‘s paper. The main point of our technique is to choose an approximating sequence and prove its convergence. The desired compactness can be obtained by the Sobolev embedding theorems.     

Elliptic Equations with Degenerate Coercivity： Gradient Regularity

In this paper, we prove higher integrability results for the gradient of the solutions of some elliptic equations with degenerate coercivity whose prototype is where for example, a(x,u)=(1+|u|)^−θ with θ ∈ (0,1). We study the same problem for minima of functionals closely related to the previous equation.     

On the Upper Bound of Second Eigenvalues for Uniformly Elliptic Operators of any Orders

Abstract Let Ω R~m(m≥1)be a bounded domain with piecewise smooth boundary Ω.Let t and r bepositive integers with t>r+1. We consider the eigenvalue problems(1.1)and(12),and obtain Theorem 1and Theorem 2, which generalize the results in[1,2.5].     

The Selmer Groups of Elliptic Curves

Let E/K be an elliptic curve with K-rational p-torsion points.The p-Selmer group of E is described by the image of a map λk and hence an upper bound of its order is given in terms of the class numbers of the S-ideal class group of K and the p-division field of E.     

A note on regularity for a class of quasilinear elliptic equations

The following regularity of weak solutions of a class of elliptic equations of the form are investigated.     

动力学椭圆代数Aq,p,(^π)(∧gln)的Drinfeld流

从推广的Yang-Baxter关系"RLL=LLR*"出发,利用高秩高斯分解,得到了动力学椭圆代数Aq,p,^π(∧gln)及其对应的Drinfeld流.其中R,R*是A(1)n-1面模型对应的谱参数有一关于代数中心平移的动力学R矩阵.     

液芯光纤中溶液吸收和荧光的性质对CS2受激拉曼散射阈值的影响

利用液芯光纤技术研究了不同浓度的β-Carotene的CS₂溶液的吸收与荧光的特性对CS₂的一、二阶Stokes谱线阈值的影响.实验发现随溶液浓度(10^-8—10^-6 mol/L)增加，CS₂的一阶Stokes谱线的激发阈值相对变高；并且与纯CS₂芯液的受激拉曼散射相比较，在低抽运能量激发下，就观察到CS₂的二阶Stokes谱线.这主要是由于在CS₂的受激拉曼谱线产生的过程中，β-Carotene的CS₂溶液的吸收和荧光共同影响了CS₂的一、二阶Stokes谱线的阈值.我们进行了理论上的拟合与分析，其结果与实验符合很好. 关键词： 2受激拉曼散射阈值')" href="#">CS₂受激拉曼散射阈值 液芯光纤 吸收与荧光