p阶平均曲率算子Dirichlet问题的无穷多个解

§ 1　 IntroductionSince the Mountain Pass Theorem came out,the existence of nontrivial solutions,pos-sibly multiple,ofnonlinear elliptic equations has been extensively studied.In this paper,weconsider the following Dirichlet problem for p-(generalized) mean curvature operator:-div((1 +| u|2 ) p- 22 u) =f(x,u) ,　 x∈Ω,u∈ W1 ,p0 (Ω ) , (1 .1 )whereΩ is a bounded domain in Rn(n>p>1 ) with smooth boundary Ω.First let us recall the following Dirichletproblem for p-Laplacian:-Δpu≡ -div…     

The wavelet dimension function is the trace function of a shift-invariant system

In this note, we observe that the dimension function associated with a wavelet system is the trace of the Gramian fibers of the shift-invariant system generated by the negative dilations of the mother wavelets. When this shift-invariant system is a tight frame, each of the Gramian fibers is an orthogonal projector, and its trace, then, coincides with its rank. This connection leads to simple proofs of several results concerning the dimension function, and the arguments extend to the bi-frame case.

     

Evolution of the electronic structure of 1T-Cu(x)TiSe(2)

The electronic structure of a new charge-density-wave system or superconductor, 1T-Cu(x)TiSe(2), has been studied by photoemission spectroscopy. A correlated semiconductor band structure is revealed for the undoped case, which resolves a long-standing controversy in the system. With Cu doping, the charge-density wave is suppressed by the raising of the chemical potential, while the superconductivity is enhanced by the enhancement of the density of states, and possibly suppressed at higher doping by the strong scattering.     

Entropy of Einstein—Maxwell-Dilaton—Axion Black Holes

The entropy of Einstein—Maxwell-dilaton—axion black holes is calculated by using the improved brick-wall model. Taking into account of the statistical physics, we propose not to consider the superradiant modes. The result shows that the nonsuperradiant modes do contribute exactly the area-law entropy for extreme black hole. Moreover, our cut-off which does not require an angular cut-off is independent of angle . As for the extreme black hole, we found that its entropy is zero.     

CVD金刚石中的氮对等离子体刻蚀的影响

采用非对称磁镜场电子回旋共振等离子体分别对沉积过程中掺氮和未掺氮的化学气相沉积金刚石膜进行了刻蚀研究, 结果表明: 掺氮制备的金刚石膜的刻蚀主要集中在晶棱处, 经过4h刻蚀后其表面粗糙度由刻蚀前的4.761 μm下降至3.701 μm, 刻蚀对金刚石膜的表面粗糙度的影响较小; 而未掺氮制备的金刚石膜的刻蚀表现为晶面的均匀刻蚀, 晶粒坍塌,刻蚀4h后其表面粗糙度由刻蚀前的3.061 μm下降至1.083 μm. 刻蚀导致表面粗糙度显著降低. 上述差别的主要原因在于金刚石膜沉积过程中掺氮导致氮缺陷在金刚石晶棱处富集, 晶棱处电子发射加强, 引导离子向晶棱运动并产生刻蚀, 从而加剧晶棱的刻蚀. 而未掺氮金刚石膜,其缺陷相对较少且分布较均匀 ,刻蚀时整体呈现为 (111) 晶面被均匀刻蚀继而晶粒坍塌的现象. 关键词： 掺氮 金刚石膜 刻蚀 非对称磁镜场     

一种双段多层长周期光纤光栅光谱特性研究

长周期光纤光栅(LPFG)传感器具有非常广泛的应用价值,而有效解决物理量交叉敏感问题是其实用化的关键。基于LPFG对包层外介质折射率和厚度的敏感性,提出一种双段多层折射率横向分布结构的新型LPFG传感器的设计,并利用耦合模理论和传输矩阵方法分析了镀膜材料折射率、膜层厚度和镀层长度对新型LPFG传感器光谱特性的影响。软件仿真结果证明,这种LPFG由于结构设计上的特殊性,将使LPFG的谐振峰发生分裂,即一个透射峰分裂为两个。由于两个分裂峰对应力和温度的灵敏度不同,利用该结构的LPFG作为传感器,可以实现温度、应力等物理量的同步测量,从而解决LPFG传感器的交叉敏感问题。     

Feasibility Study on Quantitative Measurements of Singlet Oxygen Generation Using Singlet Oxygen Sensor Green

The purpose of this study is to investigate the feasibility for quantitative measurement of singlet oxygen (¹O₂) generation by using a newly developed ¹O₂-specific fluorescence probe Singlet Oxygen Sensor Green reagent (SOSG). ¹O₂ generation from photoirradiation of a model photosensitizer Rose Bengal (RB), in initially air-statured phosphate buffered saline (PBS) was indirectly monitored with SOSG. In the presence of ¹O₂, SOSG can react with ¹O₂ to produce SOSG endoperoxides (SOSG-EP) that emit strong green fluorescence with the maximum at 531 nm. The green fluorescence of SOSG-EP is mainly dependent on the initial concentrations of RB and SOSG, and the photoirradiation time for ¹O₂ generation. Furthermore, kinetic analysis of the RB-sensitized photooxidation of SOSG is performed that, for the first time, allows quantitative measurement of ¹O₂ generation directly from the determination of reaction rate. In addition, the obtained ¹O₂ quantum yield of porphyrin-based photosensitizer hematoporphyrin monomethyl ether (HMME) in PBS by using SOSG is in good agreement with the value that independently determined by using direct measurement of ¹O₂ luminescence. The results of this study clearly demonstrate that the quantitative measurement of ¹O₂ generation using SOSG can be achieved by determining the reaction rate with an appropriate measurement protocol.     

插入式永磁低速同步电机非奇异终端滑模观测器设计

提出一种以d-q同步旋转坐标系下, 电流为观测对象的插入式永磁同步电机的非奇异高阶终端滑模观测器, 用来获得高性能矢量控制系统所必需的电机转子位置及速度信息. 采用非奇异终端滑模控制, 提高了观测器的动态响应速度及鲁棒性, 利用高阶滑模控制技术的特性, 有效地抑制了传统滑模控制的抖振现象. 同时给出了转速环及电流环调节器的参数设计方法, 转速环调节器采用积分反馈算法, 电流环调节器使用前馈解耦内模控制技术 ,参数在线调整简单. 将该算法应用到2 MW永磁同步低速电机无传感器控制系统中, 实验结果表明, 该方法能够准确计算出电机的位置和速度, 使系统具有良好的稳态精度和动态性能.     

波纹管对超导电缆出口液氮温度的影响

建立了30米长高温超导电缆的二维模型,利用Fluent软件对该模型进行仿真分析。在该模型中,采用波纹管恒温器,分析了波纹管的波距、波高等因素对出口液氮温度的影响。结果表明:在相同的热负荷及流量下,波纹管的波距越小,波高越大,出口液氮温度越高。超导电缆波纹管内液氮温度模拟,为低温冷却系统的优化设计提供理论依据。