EXISTENCE OF SOLUTIONS OF A FAMILY OF NONLINEAR BOUNDARY VALUE PROBLEMS IN L~2-SPACES

§ 1　Introduction and preliminariesThe equations related to the p- L aplacian operatorΔp have been studied in differentaspects[1— 4 ] sinceΔp arises from a variety of physical phenomena such as non Newtonianfluids,reaction- diffusion problems,etc.In this paper,the following equation(1) which canbe regarded as an extension of those in[1— 4 ]will be discussed:- div(α(gradu) ) +|u(x) |p- 2 u(x) +g(x,u(x) ) =f (x)　 a.e. onΩ-〈n,α(gradu)〉∈βx(u(x) ) ,a.e.onΓ . (1)　　More details can b…     

原子和离子的f^k与g^k的计算方法

本文给出了原子和离子能量表达式中的库仑积分与交换积系数ｆ＾ｋ，ｇ＾ｋ的计算方法，同时给出了计算中所涉及的Ｒａｃａｈ系数，Ｕ＾（＾Ｋ＾），Ｖ＾（＾Ｋ＾）和Ｃ＾（＾Ｋ＾）矩阵等光谱参量的计算方法，用ＦＯＲＴＲＡＮⅣ语言编写了关于ｆ＾ｋ和ｇ＾ｋ的计算机程序，只要输入与光谱项有关的量子数，即可迅速得到相应的ｋ＾ｆ，ｇ＾ｋ值，避免了烦琐的人工推算。     

非线性E-V回归模型中参数估计的渐近性质

本文讨论了非线性E-V回归模型中参数的估计问题,构造了未知参数β0的最小二乘估计β和误差方差σ2的估计σ2,证明了β具有渐近正态性,同时也证明了σ2依概率收敛于σ2的速度可达到n-1/2.     

Synthesis, Characterization, Spectroscopic Properties of 2-（4-Dimethylaminophenyl）-5-fluoro-6-（morpholin-4-yl）-1H-benzimidazole and its Interaction with Calf Thymus DNA

Benzimidazole compounds have attracted a renewed interest recently owing to theirpotential applications in high-performance composite materials, electronic chemicals,photosensitive materials, and their special potentials in biological and/or medicinalapplication1,2. Typically, aromatic compounds with near planar structures and contain-ing hydrogen-donor groups or groups, which are capable of being protonated, havespecial interactions with DNA via intercalation, hydrogen-bonding, and so on3.Me…     

态|Ψ_n~((2))〉_q的广义非线性等阶N次方H压缩效应

构造了一种新型的多模叠加态 |Ψ(2 )n 〉q=C(R)n |{ -i Z*j }〉q+C(0 )n |{ 0 j}〉q;并首次详细地研究了此量子态的等阶 N次方 H压缩特性 .大量的计算和分析表明 :态 |Ψ(2 )n 〉q是一种多模典型的非经典光场 ;还发现了“相似压缩”等现象     

THERMODYNAMIC AND PARTICLE-DYNAMIC STUDIES ON SYNTHESIS OF SILICA NANOPARTICLES USING MICROWAVE-INDUCED PLASMA CVD

1. Introduction1.1 Silica nanoparticles and synthesis methods Silica (SiO2) nanoparticles are widely used in industry asan active filler for polymer reinforcement, a rheologicaladditive in fluids, a free flow agent in powders, and anagent for chemical mechanical polishing during IC (inte-grated circuit) fabrication (Sniegowski & de Boer, 2000).Silica powder is also used for producing silicon carbide(Koc & Cattamanchi, 1998) or opaque silica aerosols (Leeet al., 1995). Many methods can …     

白洋淀内水体的流动特征研究

研究了风对白洋淀内水体循环流动的影响，研究指出：(1)风应力可看作是水体循环 的主要驱动力. (2)在风应力的作用下，水体表层的流动主方向与风的方向一致，下层水体 的流动方向与表层方向相逆或近似相逆. (3)表层以下水体流动复杂，次表层水平流动有明 显的双涡结构. (4)淀底地形对水体垂向流动影响很大，垂向速度变化复杂，垂向上有双涡 流动现象. 从动力学角度研究了淀内水体流动的情况.     

二芳基三嗪类HIV-1逆转录酶抑制剂的分子对接及3D-QSAR研究

对40个二芳基三嗪类HIV-1逆转录酶抑制剂进行了分子对接研究,结果表明,2个疏水性芳香取代基团与结合口袋底部形成的疏水和范德华相互作用、三嗪环母核及其R4取代基与结合位点产生的氢键和静电作用以及R4取代基与袋口形成的空间位阻效应是影响该系列化合物活性的重要因素.根据对接优势构象进行分子叠合和比较分子相似性指数分析(C...     

A spirocyclic oxindole analogue:Synthesis and antitumor activities

A new synthesis of spirocyclic oxindole analogue spiro[piperidine-4,3’-pyrrolo[2,3-b]pyridin]-2’（1’H）-one 1 is described.The key steps involve dialkylation of arylacetonitrile and cyclization of the azaoxindole ring by an intramolecular Buchwald-Hartwig amidation of carboxylic ami Je and aryl chloride.A small library was obtained by reductive amination of 1 with various aldehydes and was screened against human lung cancer cell A549,human liver cancer cell BEL7402,and human colon cancer cell HCT-8.The results show that most of the 1（?）rary compounds 2 have some inhibitory activities.2-（Trifluoromethoxy） benzylic substituted spirocyclic azaoxindole 2e was identified as a nanomolar inhibitor against human lung cancer cell A-549(IC₅₀=50 nmol/L).     

Friedel-Crafts alkylation of indoles with nitroalkenes catalyzed by Cu(Ⅱ)-imine complex

A series of new ligands L₁-L₇ were readily prepared in one step.Friedel-Crafts alkylation of indoles with nitroalkenes catalyzed by a novel Cu（Ⅱ）-L complex has been developed.The remarkable advantages of this reaction are mild reaction conditions,simple workup procedure,high yields of products and the use of ethanol as a green solvent.