局部共形平坦黎曼流形上p-调和形式的消灭定理

证明了完备的、非紧的、单连通的局部共形平坦黎曼流形M~n上的p-调和形式的消灭定理.首先假设流形M~n的数量曲率是非负的,并且无迹Ricci张量的■模小于某个正常数,则该流形上不存在非平凡的L~pp-调和形式.其次,若流形M~(2m)是偶数维的,且流形的数量曲率是非负的,则M上不存在非平凡的L~βp-调和m-形式,其中βp2.最后,假设流形M~n的数量曲率是非正的且Ricci曲率张量的■模小于某个正常数,则流形上不存在非平凡的L~βp-调和形式.     

关于一类反应扩散方程的非平凡解及其死核问题

研究了一类反应扩散方程的Ｄｉｒｉｃｈｌｅｔ问题的非平凡解及其死核问题，证明在某种条件下该问题存在非平凡解，且非平凡解对区域是否有死核。     

广义二次矩阵与其幂等矩阵线性组合幂等性的非平凡解

首先,用广义二次矩阵的基本性质,研究表示为A2=αA+βP的广义二次矩阵A与幂等矩阵P的线性组合ρA+σP为幂等的非平凡解(ρ,σ)的存在性,结果表明,当η2=4β+α2≠0时,ρA+σP有且仅有两个非平凡解,A可唯一地表示为这两个非平凡解生成的幂等矩阵的线性组合;其次,讨论当η2=4β+α2=0时ρA+σP非平凡解的...     

三阶微分方程边值问题的非平凡浇

利用Leray-Schauder连续定理研究了一类三阶方程边值问题非平凡解的存在性.     

三阶微分方程边值问题的非平凡解

利用Leray—Schauder连续定理研究了一类三阶方程边值问题非平凡解的存在性．     

一类平面分段光滑系统的周期轨的存在性

首先利用光滑子系统的流建立了不连续边界上的截面映射,并将截面映射进行复合从而得到系统的Poincaré回归映射.进一步讨论后继函数的零点,得到系统存在非平凡周期轨的充分条件。     

一个半线性椭圆型方程非平凡解的存在性

摘要：研究一个半线性椭圆型偏微分方程，在失去某种紧性条件的情况下，运用没有(PS)条件的山路引理，汪明了此方程的非平凡解的存在性．     

含非齐项的快扩散耦合系统解的渐近行为

用检验函数和比较原理研究含非齐项快扩散耦合系统的第二边值问题,得到了它的Fujita型临界曲线.结果表明:在临界曲线下方,不存在非负非平凡的全局解;在临界曲线上方,存在非负非平凡的全局解.     

耦合Klein-Gordon-Born-Infeld方程解的不存在性

得到一类耦合Klein-Gordon-Born-Infeld方程非平凡解的不存在性.运用的方法依赖于一些Poho■aev等式的简化,这些等式的简化为得到方程非平凡解的存在提供了必要条件.     

全空间中一类椭圆方程组解的存在性

讨论了下面问题:{-Δu+qu=2αα+β|u|α-2u|v|β,x∈RN,-Δv+qv=2βα+β|u|α|v|β-2v,x∈RN,u,v∈H1(RN)。应用变分法证明了以上椭圆方程组至少存在一个非平凡的非负解。     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Jane Eyre——A Feminist In The 19th Century

In the 19th century the society was controlled by men, and women were just appendants of them, they had not any rights and freedom. But Jane was an exception, she showed some characteristics of early feminist. Jane showed her characteristics of feminism in three aspects: rebellion, equality, and independence. These characteristics were helpful to her success, and feminism is the only way out for women of that time.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of