The main results and novelties of the paper are as follows:Firstly, we study the existence of nontrivial solution for the following nonlinear equations with singular pontential By using variational methods and critical point theory, we construct linking type critical value of this kind of singular elliptic equations, with the properties of the eigenvalue, we estimate the critical value and prove the local condition holds to show the existence of the nontrivial solution.

論文的創(chuàng)新點及主要結果如下：首先研究有界區(qū)域上具有奇異位勢的非線性方程的非平凡解的存在性国内揄拍国内精品人妻不卡，運用變分方法與臨界點理論亚洲白白发布，構造這一類奇異橢圓方程的環(huán)繞型臨界值亚洲欧美激情小说另类，并由特征值的性質給出臨界值的估計黄色在线免费交配视频，同時證明局部條件成立黄色免费网站性交，最終證明方程非平凡解的存在性欧美无砖区2020。

Since the solutions of this problem are the critical points of the associated energy function. One generally needs some compactness such as PScondition or C-condition to prove the existence of critical points of the energy func-tion, but when we study the elliptic equation in R~N, the compactness condition does not always hold since the imbedding of the Sobolev space H_0~(1,2)into L~(2*) is not compact. In this chapter, based on the nonsmooth critical point theory, and by using the approximation technique with periodic function, the existence of nontrivial solution is obtained.

由于該方程的解就是其所對應的能量泛函的臨界點，通常都要在一些緊型條件的基礎上來證明其所對應的能量泛函臨界點的存在性黄色片区，但當我們在無界域上考慮該橢圓方程解的存在性時免费黄色视频不用下载在线观看，Sobolev空間H_0~(1，2)到L~(2*)的嵌入非緊日韩一级大日韩女大片一级，從而導致所對應的能量泛函失去緊性又黄又刺激视频，本章在非光滑臨界點理論的基礎上，應用周期逼近的方法證明該問題非平凡解的存在性国产美女精品一级A片免费观看。

The critical point means such a state that all the differences between gas and liquid disappear completely,being a most important parameter of dividing the types of fluid and being widely verified in both theory and practice.Currently,four methods of determining critical point are summarized as follows:①laboratory measurement through examining critical opalescence or recording the bubble point and dew point curves;②empiric relation;③calculation of the bubble point and dew point curves by PVT software;and ④ direct calculation according to thermodynamic theories.

隨后對臨界點進行確定黄片在线不卡永久免费看，臨界點是氣液一切性質差異均消失的狀態(tài)，是區(qū)分流體類型最重要的參數(shù)加勒比中文无码在线，并得到了理論和工程應用的廣泛驗證国内偷窥一区二区三区视频，目前確定臨界點大致有四種方法：①實驗測定，通過觀察臨界乳光現(xiàn)象或記錄流體的泡點和露點線在线视频黄片免费观看；②經驗關系式国内偷拍第三页；③通過PVT軟件計算流體的泡點和露點線；④利用熱力學理論直接計算欧美精选视频hh。

In this paper, using the methods of Fourier transformation and moment-space renormalization group et al, we studied the phase transition of several complex Gauss systems, figured out the critical point and critical exponents of the system, simply discussed the critical problem of the system with long rang interactions and the universality of phase transition.

本文利用傅立葉變換和動量空間重整化群變換等方法女同一区二区，研究了一些復雜Gauss系統(tǒng)的相變和臨界性質，求解了系統(tǒng)的臨界溫度和臨界指數(shù)黄片免费国产黄片免费国产黄片，簡單地探討了相變的普適性和系統(tǒng)中存在長程相互作用的問題亚洲精选第一页。

The paper studied that HACCP projects was established,critical control point was controlled,hazard analyzed was evaluated in oxidation starch procedure in production,filtration,bath and dehydration,sirocco desicalion,metal detect were confirmed as critical control points, critical limits ,monitor procedures,corrective actions were established,as was that the safety and quality were improved.

對氧化淀粉生產過程進行危害分析評估、關鍵控制點控制及相對應的HACCP計劃的制定進行探討，確立了濕法生產氧化淀粉過程中的過濾午夜操逼网站、水洗脫水亚洲乱人伦、熱風干燥和金屬探測4個關鍵控制點，制定了相關的關鍵限值美女隐思网站、監(jiān)控程序和糾編措施日韩专区精品色情在线观看，從而為提高氧化淀粉生產過程中的質量和安全性提供保障。

The primary studying works and characteristics:1 To summarize reinforcing theory of cement mixing pile composite foundation2 To analyze the primary mechanics characters and changing rules of cement mixing pile, based on analysis of test data both indoor and outdoor.3 To discuss siding frictional resistance, ending resistance, ultimate bearing capacity of simple mixing pile and effectiveness factor of grouped piles, loading ratio of soil between piles under cushion cap of grouped piles and stress ratio of pile and soil and so on, and use many computation method and experimentation method to ensure bearing capacity of mixing piles composite foundation.4 To point out and analyze eight sides flaws and problems of the bearing capacity calculation method of mixing pile compositefoundation which ensured by national and normative method/ formula.5 To apply test results of loading tests and a few settlement observation data, use gray theory to predicate ultimate bearing capacity of deep mixing piles, actual example demonstrate engaging between theoretical predicted value and actual value.6 To apply groovy layerwise summation method to discuss entity piles method, double foundation method, equivalent layerwise summation method and consolidation theoretical method and so on, especially by combination of engineering example, use FEM to calculate or discuss the settlement and changing rules of composite foundation.7 To discuss problems of critical length of composite foundation by combination of engineering example and numerical analysis method, and analyze the contrast of critical length between simple pile load and most area load of composite foundation, not only critical length of composite foundation is relative to modulus ratio between piles and soil, but also upside load distribution area of composite foundation.

主要的研究工作與特色為：(1)總結了水泥攪拌樁復合地基的加固原理欧美黄色性爱视频网站；(2)在對室內外試驗資料進行統(tǒng)計分析的基礎上亚洲你懂得，系統(tǒng)分析了攪拌樁水泥土的主要力學特性及其變化規(guī)律；(3)探討了攪拌單樁的側摩阻力91AV天堂在线观看、端阻力操BB一区二区、極限承載力及群樁效率系數(shù)、群樁承臺下樁間土荷載分擔比及樁土應力比等影音先锋不卡成人资源在线观看，提出用多種計算方法并結合試驗方法來綜合確定攪拌樁復合地基的承載力亚洲免费看一级；(4)明確指出和分析了按國家有關規(guī)范的方法確定攪拌樁復合地基承載力所存在的八個方面的缺陷與問題；(5)利用過去沒有加載至破壞階段的載荷試驗成果和較少的沉降觀測數(shù)據(jù)中文字幕在线更新资源站，嘗試了用灰色理論預測深層攪拌樁的極限承載力欧洲性爱一级二级网站视频，實例表明理論預測值與實測值吻合較好；(6)在常規(guī)分層總和法的基礎上在线视频一区二区三区三区不卡，探討了復合地基沉降計算的實體墩基法可以直接看的欧美A片、雙層地基法2020国产91精品对白露脸、等效作用分層總和法精品视频在线一区二区、固結理論法等，特別是結合工程實例日本激情小说视频，用有限元數(shù)值計算等方法計算和討論了攪拌樁復合地基的沉降及其變化規(guī)律人人插人人爱人人操；(7)結合工程實例，用數(shù)值分析方法探討了復合地基臨界樁長的問題免费色三级域名，指出和分析了單樁荷載下的臨界樁長與復合地基大面積荷載下的臨界樁長存在很大的差別九九色在线，復合地基的臨界樁長不僅與樁土模量比有關，而且與復合地基上部荷載分布面積有關9l视频。

A critical temperature of water is 100 degrees C--its boiling point at standard atmospheric pressure; critical mass; go critical .

水的臨界溫度是攝氏100度——標準大氣壓下的沸點免费观看AV免费观看AV；臨界物質；達到臨界亚洲五月综合。

Therefore, different critical area extraction algorithms are developed according to different defect types With the concept of critical area, the unitarity of Monte Carlo method and critical area method is discussed in fault-sensitivity analysis.

并利用關鍵面積的概念国产自在，論述了Monte Carlo方法和關鍵面積方法在芯片故障敏感度分析中的統(tǒng)一性。

The pressure drop along the horizontal wellhole was combined with the critical pressure drop of the bottom water-driven reservoirs, thus the relation between the critical pressure and the critical flow rate when the horizontal well originally put into production was researched,which provide a reference for the design.of the deliverability of the horizontal well used in the bottom water reservoir existing the bottom water coning.

把水平段壓降和底水油藏臨界壓力結合起來欧美老熟妇A片在线播放，研究了考慮水平段壓降時的水平井初期生產的臨界壓力和臨界產量的關系日韩一区观看视频，為存在底水錐進油藏水平井產能設計提供了參考依據(jù)。

Critical C/Fe ratio as a new concept has been put forward in this paper, when the amount of carbon adding into pellet large than critical C/Fe ratio, it will results that the S% of DRI goes beyond the criterion so that EAF refuse to use it, when less than critical C/Fe ratio, it will accelerate reduction and desulphur.

文章根據(jù)熱態(tài)DRI的再氧化機理，提出了一種利用半熔融密封料覆蓋反應罐口的防再氧化理論黄色网址A片免费观看，在還原溫度時半熔融密封料熔化成液相国产一区日韩欧美黑人，將罐口密封，反應罐冷卻時一级a毛片永久免费观看网站，這層半熔融密封料凝固并和罐壁緊密結合一本到在线DVD国产日韩欧美，阻止氧化性氣體的侵入，達到防氧化的目的久久久久国产99久久国产。