含临界位势的半线性双调和方程的正解

主要研究了一类含临界位势双调和问题.利用Hardy不等式得到一个仅与维数N有关的上限λ*,且当λ＜λ时,不管维数是一般的还是临界的,该问题都至少有一个正解.     

一类具临界指数的半线性椭圆方程注

建立一类带第一特征值λ₁的具临界指数的半线性椭圆方程 -Δu=λ₁u+|u|^2*-2u零边值问题的非平凡弱解存在 的一个必要条件, 并在加权情况下得其相应结论.     

一类可缩区域上半线性椭圆型方程多个正确的存在性

本文考虑下列方程｛－Δｕ＋λｕ＝│ｕ│＾ｐ－１ｕ，在Ω内，ｕ〉０，在Ω内，θｕ／θｖ│θΩ＝０，其中，Ω∪→Ｒ＾Ｎ（Ｎ≥３）为一类有界可缩区域，θΩ充分光滑，λ∈Ｒ，ｖ为θΩ的单位外法向量，ｐ＝Ｎ＋２／Ｎ－２为临界指标。我们证明了λ〉０充分大时，上述方程具有多个正解。     

具有Neumann边界条件及临界Sobolev指数的半线性抛物方程整体解的渐近性及Lq-估计

研究一类具有Neumann边界条件及临界Sobolev指数的半线性抛物方程的整体解的渐近性及L^q-估计。这里Ω是R^N(N≥3)中的有界光滑区域并且p=2^*-1=N 2/N-2。     

随机不变测度的维数与维数分布

介绍了测度的维数和维数分布的概念，对随机不变测度μ^*，获得了μ^*的维数及其维数分布。     

一类矩阵族的特征值问题

对一类矩阵族A＋λB μC的特征值问题作了一般性讨论，用构造扩大方程组的方法求λ＝λ^*,μ=μ^*，使得A＋λ^*B μ^*C的秩为n-2。     

R^4中含临界位势和不定权的非线性双调和问题

本文考虑了 R^4 中一类含临界位势和不定权的非线性双调和问题，在次临界增长的条件下，证明了临界位势中指数的最佳，并利用一个最佳的Hardy不等式，和第一特征值的性质，证明了非平凡解的存在性。     

带时滞的退化半线性抛物方程的熄灭

考虑带时滞的退化半线性抛物方程的熄灭问题．利用正则化方法和上下解技巧，我们得到了上述问题经典解的存在惟一性，同时还证明了存在一个临界长度α＊使得上述问题的解α〈α＊时整体存在，而当α〉α＊时在有限时间内熄灭．进而我们还得到关于临界长度α＊的一个简单估计．     

含临界位势和不定权的非线性双调和问题

考虑了R4中一类含临界位势和不定权的非线性双调和问题,在次临界增长的条件下,证明了临界位势中的最佳指数,并利用一个最佳的Hardy不等式和第一特征值的性质,证明了非平凡解的存在性.     

方程－Δu＋λu＝u（N＋2）／（N－2）的正解

本文讨论涉临界Ｓｏｂｏｌｅｖ指标非线性椭圆方程－Δｕ＋λｕ＝ｕ（Ｎ＋２）／（Ｎ－２）（λ≥０）在Ｎ维有界区域Ω上的正解的存在性，证明当Ω具有一“小洞”时，方程至少具有一个正解。     

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.     

Characterization of Ordovician carbonate reservoirs, southeastern Saskatchewan, Canada

The discovery of the prolific Ordovician Red River reservoirs in 1995 in southeastern Saskatchewan was the catalyst for extensive exploration activity which resulted in the discovery of more than 15 new Red River pools. The best yields of Red River production to date have been from dolomite reservoirs. Understanding the processes of dolomitization is, therefore, crucial for the prediction of the connectivity, spatial distribution and heterogeneity of dolomite reservoirs.The Red River reservoirs in the Midale area consist of 3～4 thin dolomitized zones, with a total thickness of about 20 m, which occur at the top of the Yeoman Formation. Two types of replacement dolomite were recognized in the Red River reservoir: dolomitized burrow infills and dolomitized host matrix. The spatial distribution of dolomite suggests that burrowing organisms played an important role in facilitating the fluid flow in the backfilled sediments. This resulted in penecontemporaneous dolomitization of burrow infills by normal seawater. The dolomite in the host matrix is interpreted as having occurred at shallow burial by evaporitic seawater during precipitation of Lake Almar anhydrite that immediately overlies the Yeoman Formation. However, the low δ18O values of dolomited burrow infills (-5.9‰～ -7.8‰, PDB) and matrix dolomites (-6.6‰～ -8.1‰, avg. -7.4‰ PDB) compared to the estimated values for the late Ordovician marine dolomite could be attributed to modification and alteration of dolomite at higher temperatures during deeper burial, which could also be responsible for its 87Sr/86Sr ratios (0.7084～0.7088) that are higher than suggested for the late Ordovician seawaters (0.7078～0.7080). The trace amounts of saddle dolomite cement in the Red River carbonates are probably related to "cannibalization" of earlier replacement dolomite during the chemical compaction.     

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.     

A computer generator for randomly layered structures

AcomputergeneratorforrandomlylayeredstructuresYUJia shun1,2,HEZhen hua2(1.TheInstituteofGeologicalandNuclearSciences,NewZealand;2.StateKeyLaboratoryofOilandGasReservoirGeologyandExploitation,ChengduUniversityofTechnology,China)Abstract:Analgorithmisintrod…     

An Index mechanism for multi-scale view in spatial databases

There are numerous geometric objects stored in the spatial databases. An importance function in a spatial database is that users can browse the geometric objects as a map efficiently. Thus the spatial database should display the geometric objects users concern about swiftly onto the display window. This process includes two operations:retrieve data from database and then draw them onto screen. Accordingly, to improve the efficiency, we should try to reduce time of both retrieving object and displaying them. The former can be achieved with the aid of spatial index such as R-tree, the latter require to simplify the objects. Simplification means that objects are shown with sufficient but not with unnecessary detail which depend on the scale of browse. So the major problem is how to retrieve data at different detail level efficiently. This paper introduces the implementation of a multi-scale index in the spatial database SISP (Spatial Information Shared Platform) which is generalized from R-tree. The difference between the generalization and the R-tree lies on two facets: One is that every node and geometric object in the generalization is assigned with a importance value which denote the importance of them, and every vertex in the objects are assigned with a importance value,too. The importance value can be use to decide which data should be retrieve from disk in a query. The other difference is that geometric objects in the generalization are divided into one or more sub-blocks, and vertexes are total ordered by their importance value. With the help of the generalized R-tree, one can easily retrieve data at different detail levels.Some experiments are performed on real-life data to evaluate the performance of solutions that separately use normal spatial index and multi-scale spatial index. The results show that the solution using multi-scale index in SISP is satisfying.     

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