R^N中带冲突非线性项的拟线性椭圆方程的多解性

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。     

R~N中一类带p-凹凸非线性项的拟线性椭圆方程的无穷可解性

在适当条件下 ,得到 RN中的 p- L aplace方程- div(| u|p -2 u) a(x) |u|p-2 u =h(x) |u|q-2 u λ|u|s-2 u,u∈ W1,p(RN)的无穷多解的存在性 ,其中 :p 相似文献   

全空间上带 Hardy-Sobolev 临界指数的拟线性椭圆方程变号解的存在性

讨论了全空间上一类带Hardy-Sobolev临界指数的拟线性椭圆方程{-Δpu-μ|u|p-2 u/|x|p=λ|u|p(t)-2/|x|tu+f(x,u),x∈RNu∈D01,p(RN)其中:D01,p(RN)是C0∞(RN)的闭包,Δpu=-div(|▽u|p-2▽u),20,0≤t相似文献   

一类p(x)-Laplace方程正解的存在性

考虑方程{-△p(x)u=f(u),u-0 x∈Ω,x∈aΩ正解的存在性,这里-△p(x)u=-div(|△u|p(x)-2△u),p(x)∈C1(RN)是径向对称的,Ω=B(0,R)∩ RN是有界径向对称区域,其中R是充分大的正数.当u→ ∞lim f(u)up--1=0时,证明了方程正解的存在性,而且未对f(0)的符号做任何限制.     

一类二阶具无穷时滞泛函微分方程的周期解

考虑具有无穷时滞泛函微分方程d2xdt2=a(t,x(t))x(t)+p(t,xt)+ddt∫0-∞q(s,x(t+s))ds.利用重合度理论,得到方程存在ω-周期解的一个充分条件为:p有界,β0>0,且(β1ω+q)ω<1,其中q=∫0-∞sup|u|<∞| q(s,u) u|ds,β0=inf(t,x)∈R2|a(t,x)|,β1=sup(t,x)∈R2|a(t,x)|.特别地,当a(t,x)≡a(t),q(s,u)≡0时,得到方程存在唯一ω-周期解的一个充分条件为:p有界,β0>0,β1ω2<1且(p(t,φ1)-p(t,φ2))(φ1(0)-φ2(0))≥0,(t,φ1),(t,φ2)∈R×BCh,其中β0=inft∈Ra(t),β1=supt∈Ra(t).     

非线性项含临界指数的p - Laplace方程的解的存在性

证明了当λ>0时p -LaplaceDirichlet问题-div (| u| p - 2 u) =λ|u| q - 2 u + |u| p - 2 u ,u∈W1.p0 (Ω)无穷多解的存在性 ,其中Ω是RN 中的有界域 ,1相似文献   

拟线性椭圆方程在RN上的结点径向解的存在性

研究了RN(N≥2)上的拟线性椭圆方程-div(|u|p-2u) |u|p-2u=f(|x|,u),x∈RN,u∈W1,p0(RN)的具任意多个结点的径向解的存在性,其中1相似文献   

方程-△u-μ(u|x|2)=u2*-1+σf(x)极小正解的存在性

考虑了半线性椭圆型方程-△ u -μ u|x|2 =u2 * - 1 +σf ( x) ,　 u∈ H0 1 (Ω ) ,u >0 ,N >2 .这里 ,0∈Ω,Ω RN是一个光滑有界区域 ,σ>0是一个参数 ,μ <μ=( N -2 ) 2 /4 ,f ( x)是 L∞ (Ω)中一个给定的函数 ,并且 f ( x) 0 ,f ( x) 0 .利用隐函数定理及上下解方法 ,我们得到了一定条件下 ,方程极小正解的存在性 .     

外部区域上半线性椭圆型方程的正解

运用变分法和Hardy不等式证明一类方程{-Δu-μu|x|2=g(x)|u|q-2u+f(x,u),x∈Ω;u=0,x∈Ω外部区域上解的存在性。其中ΩRN(N≥3)是一个外部区域,即Ω=RN\Ω0,Ω0是包含原点的有界光滑区域,μ0,2q2*,2*=N2-N 2,2*(σ)=2(NN--2σ),S(q)σS(2),S(q)=N-q(N-2)/2。     

一类奇异p-Laplace方程变号解的存在性

讨论了一类具有奇异系数的p-Laplace问题 -Δpu -μ|u|p-2u |x|p =λup* (t)-2 |x|tu |u|q-2 |x|su x ∈Ω u =0 x ∈ ì ? í ?? ?? ?Ω 其中:N ≥3,Ω 是RN 中一有界光滑区域,0∈Ω,Δpu = -div(|?u|p-2?u),2

0,0≤s,t相似文献   

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.     

An Analysis of Catherine＇s Character——Wuthering Heights

Wuthering Heights, Emily Bronte＇s only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well.     

Lower Paleozoic oil relationships within Williston Basin, Canada

The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation.     

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.     

Design and analysis of generic LBS application developing platform

Location based services is promising due to its novel working style and contents.A software platform is proposed to provide application programs of typical location based services and support new applications developing efficiently. The analysis shows that this scheme is easy implemented, low cost and adapt to all kinds of mobile nework system.     

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