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1.
在Cn中的有界对称域上继续分析了Hp,α空间上函数的性质,得到了两个定理.定理1设0<α<1,0<p<q<∞,β<(qα)/(p),λ>0,若f∈Hp,α(Ω),那么∫10(1-r) nλ((α)/(p)-(β)/(q))-1Mq(r,f)λdr≤C‖f‖λp,α,这里C是与f无关的正常数.定理2设0<α<1,0<p<2,β<(2α)/(p),若f(z)=∑k,vakvφkv(z)∈Hp,α(Ω),那么,∑∞k=0(k+1)np((1+β)/(2)-(α)/(p))-n∑mkv=1|akv|p<∞.  相似文献   

2.
研究了下面带有初值条件的分数阶微分方程D1+αu-△u+(-△)γ/2Dβu=|u|p的柯西问题.其中p>1,-1<α<1,0<γ≤2且0<β<2.通过采用检验函数的方法.证明了局部和整体的非存在性结果,并给出了它们存在的必要条件.这些结果改善并延伸了以前的结果.  相似文献   

3.
本文就岭回归估计β^(k)在0<K≤σ^2/maxri^2条件下,对标准E‖β^β(k)-β‖^2优于LS估计问题给出了证明,并结合实例确定较优的岭回归K值。  相似文献   

4.
应用变分方法中的极值理论来研究Neumann边界问题{ -div(|x|α|▽u|p-2▽u)=|x|βup(α,β)-1-λ|x|γup-1+|x|μq-1,u(x)>0,x∈Ω|▽u|p-2?u/?u=0, x∈?Ω其中Ω是RN(N≥3)中具有C2光滑边界的有界区域,0 ∈Ω,n表示(e)Ω的单位外法向向量,且1<p<N,α<0,β<0,使得p(α,β)(△)p(N+β)/N-p+α>P,γ>α-p,P<q<p(α,μ).对于参数α,β,γ及μ的不同范围,建立上述方程解的存在性结果.其中对参数不同范围的讨论对解的存在性所起到的至关重要的作用.  相似文献   

5.
主要应用锥理论的方法讨论了如下四阶微分方程的变号解、正解、负解的存在性.{x(4)(t)+α0x〃(t)-β0x(t)=f(t,x(t)),0<t<1,ax(0)-bx'(0)=0,cx(1)+dx'(1)=0,(0.1)ax〃(0)-bx(〃)(0)=0,cx〃(1)+dx(〃)(1)=0,其中a,b,c,d≥0,ρ0=ad+ac+bc>0,且α0,β0∈R1,α0< 2π2,β0≥-α20/4,β0/π2+α0/π2<1.  相似文献   

6.
R^N中带冲突非线性项的拟线性椭圆方程的多解性   总被引:6,自引:0,他引:6  
考虑R^N中含正参数μ的拟线性椭圆方程-div(|↓△u|^p-2↓△u) |u|^p-2u=q(x)|u|^α-2u-μr(x)|u|^β-2u,u∈W^1,p(R^N),其中P:1<p<α<β<p^*,q∈L^∞(R^N)∩L^β/β-α(R^N),q(x)>0,r∈L∞(R^N),r(x)≥d>o。证明了当μ充分大时该方程无非零解,而当μ充分小时该方程有足够多的分别具有正能量与负能量的解。  相似文献   

7.
目的探讨高血压(EH)和糖尿病(DM)早期肾功能损害的测定指标,观察伊贝沙坦对EH和DM患者早期肾损害的影响.方法将60例EH合并DM患者按病程分为A组(病程<3年),B组(病程3~5年),C组(病程>5年)三组,分别测量三组患者的尿β2微球蛋白(β2-mG)、微量白蛋白(Alb)水平,同时与50名健康人作对照;将60例患者按入选顺序,随机分为伊贝沙坦组和依那普利组,观察治疗前后尿β2-mG、Alb的变化.结果EH合并DM患者尿β2-mG、Alb明显高于正常人(P<.05或P<0.01).尿β2-mG、Alb水平随糖尿病病程升高,其升高顺序为C组>B组>A组,伊贝沙坦与依那普利均有降低患者尿β2-mG、Alb的作用,但伊贝沙坦优于依那普利(P<0.05).结论尿β1-mG、Alb是诊断EH和DM患者早期肾损害的敏感指标,伊贝沙坦有明显的改善EH和DM患者的早期肾功能作用.  相似文献   

8.
目的探讨高血压(EH)和糖尿病(DM)早期肾功能损害的测定指标,观察伊贝沙坦对EH和DM患者早期肾损害的影响.方法将60例EH合并DM患者按病程分为A组(病程<3年),B组(病程3~5年),C组(病程>5年)三组,分别测量三组患者的尿β2微球蛋白(β2-mG)、微量白蛋白(Alb)水平,同时与50名健康人作对照;将60例患者按入选顺序,随机分为伊贝沙坦组和依那普利组,观察治疗前后尿β2-mG、Alb的变化.结果EH合并DM患者尿β2-mG、Alb明显高于正常人(P<.05或P<0.01).尿β2-mG、Alb水平随糖尿病病程升高,其升高顺序为C组>B组>A组,伊贝沙坦与依那普利均有降低患者尿β2-mG、Alb的作用,但伊贝沙坦优于依那普利(P<0.05).结论尿β1-mG、Alb是诊断EH和DM患者早期肾损害的敏感指标,伊贝沙坦有明显的改善EH和DM患者的早期肾功能作用.  相似文献   

9.
构造了求解双曲型方程ut aux=0的初边值问题的一组含双参数分组并行算法(GE、GEL 、GER),格式的局部截断误差阶一般为o(τ h),当β=1、1-4/r2<α<1时,稳定性条件为r>0;当β=1、1-4/r2=α<1时,稳定性条件为r>0且r≠1.特别当α=1/2、β=r-1/2r时,GE、GEL 、GER格式的局部截断误差阶为o(τ2 h2),稳定性条件为0<r≤4/3.实算表明,格式的稳定性性能和理论结果是一致的.  相似文献   

10.
为揭示低温冻结作用对板岩破坏类型及抗压强度的影响,采用DX-40型低温数控试验箱、DNS100微型控制电子万能试验机进行7种不同层理倾角β和6种不同试验温度t的单轴压缩试验,对其应力-应变曲线以及单轴抗压强度、峰值应变、破坏类型的变化规律进行分析。在JAEGER层理面理论的基础上,建立以冻结温度和层理倾角为控制变量的单轴抗压强度公式,给出影响板岩破坏类型的2个极限角度β1和β2的表达式,并通过试验结果验证强度公式的正确性。研究结果表明:受低温冻结作用的影响,板岩的单轴抗压强度随温度降低呈指数增加;板岩的单轴抗压强度随倾角增加先减小后增大;在低温冻结条件下,板岩的破坏类型有3种,即当0°≤β27.0°时,板岩沿与竖直轴线呈一定角度的方向发生剪切破坏;当27.0°≤β≤82.7°时,板岩沿层理面发生剪切破坏;当82.7°β≤90.0°时,板岩沿垂直方向发生劈裂破坏。  相似文献   

11.
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.  相似文献   

12.
何延凌 《科技信息》2008,(4):258-258
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.  相似文献   

13.
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。  相似文献   

14.
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.  相似文献   

15.
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.  相似文献   

16.
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-  相似文献   

17.
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-  相似文献   

18.
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  相似文献   

19.
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  相似文献   

20.
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  相似文献   

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