Fountain theorem over cones and applications

In this paper, we establish fountain theorems over cones and apply it to the quasilinear elliptic problem{-pu = λ|u|q-2u + μ|u| γ-2 u, x ∈Ω,u = 0, x ∈Ω,(1)to show that problem (1) possesses infinitely many solutions, where 1 p N, 1 q p γ, ΩRN is a smooth bounded domain and λ, μ∈ R.     

Preparation of anticorrosion hybrid silica sol–gel coating using Ce(NO3)3 as catalyst

In this report, hybrid silica sol–gel coating was prepared using Ce(NO₃)₃ (Sol-Ce) as catalyst. Structure, surface morphology and anticorrosion ability of Sol-Ce solution/coating were studied by infrared spectroscopy (IR), scanning electron microscopy, energy dispersive spectrometer (EDS), potentiodynamic scan (PDS) and electrochemical impedance spectroscopy (EIS). IR results showed that Ce(NO₃)₃ had a stronger influence on reactivity of alkoxysilane. EDS results revealed that the fraction of Fe in Sol-Ce coating was significantly lower than regular acid-catalyzed hybrid silica sol–gel coating (Sol-Ac) and Sol-Ac with Ce(NO₃)₃-doped coating (Sol-Ac/Ce). The results of PDS and EIS demonstrated that Sol-Ce coating had better anticorrosion ability than Sol-Ac and Sol-Ac/Ce on carbon steel. The enhanced anticorrosion performance of the Sol-Ce coating might result from the following two reasons: (a) Ce(NO₃)₃ as a catalyst could alleviate the negative effects of low pH with using acid catalyst (dissolution of carbon steel) and (b) Ce(NO₃)₃ could impede corrosion of carbon steel as corrosion inhibitor.     

Characterization and corrosion properties of Ti‐O/HA composite coatings on Mg‐Zn alloy

Biodegradable magnesium alloys have been widely investigated in the field of biomaterials because they can be gradually dissolved and absorbed by the human body without long‐term existence. However, it was found that bare magnesium implants suffered from rapid corrosion. Surface modification is applied to improve the corrosion resistance and biocompatibility of magnesium implants. In this study, Ti‐O/HA composite coatings including typical flakes and nanofibers were fabricated on the Mg‐Zn alloy. The Ti‐O films were deposited on the magnesium alloy by direct current magnetron sputtering, and subsequently coated with HA flakes and nanofibers by electrochemical deposition, respectively. The obtained coatings were investigated by X‐ray diffraction, Fourier Transform Infrared spectroscopy and scanning electron microscopy. The corrosion resistance was evaluated by potentiodynamic polarization and hydrogen evolution tests in simulated body fluid at 37 °C. The results show that the compact Ti‐O films are composed of particles within the size of 100 nm, the outermost HA coatings are predominantly composed of HA and doped with Na⁺, Mg²⁺ ions and functional groups. The stronger diffraction and broader peak in nanofibers than typical flakes around 25.8° are ascribed to the preferential growth in orientation (002). The morphology of HA coatings changed from typical flakes into nanofibers with the addition of NaF, the mechanism to explain the difference is also discussed. The corrosion resistance was improved significantly by the coatings, the corrosion rates in the 10 days were 4.13, 1.77, 0.96 and 0.85 mm/y, respectively. Copyright © 2011 John Wiley & Sons, Ltd.     

激光诱变选育果胶酶高产菌株

采用Ar⁺、He-Ne、LD、YAP等激光辐照果胶酶产生菌,不同波长激光辐照均获高酶活菌株,其中从LD激光与He-Ne激光辐照组中选育出酶活达6×10⁴单位/g的高产菌株(比对照组提高122%),并稳定地应用于生产.文中从黑曲霉抱子与DNA的吸收光谱以及电镜观察黑曲霉抱子的结果出发,对激光诱变机制进行了初步探讨.     

BOUNDARY VALUE PROBLEMS FOR THE EQUILIBRIUM SYSTEMS OF FERRO-MAGNETIC CHAIN

ＢＯＵＮＤＡＲＹＶＡＬＵＥＰＲＯＢＬＥＭＳＦＯＲＴＨＥＥＱＵＩＬＩＢＲＩＵＭＳＹＳＴＥＭＳＯＦＦＥＲＲＯ－ＭＡＧＮＥＴＩＣＣＨＡＩＮＳｈｅｎＹａｏｔｉａｎ（沈尧天）ＹａｎＳｈｕｓｅｎ（严树森）（Ｄｅｐｔ：ｏｆＡｐｐｌ．Ｍａｔｈ，ＳｏｕｔｈＣｈｉｎａＵ...     

New solutions for nonlinear Schrödinger equations with critical nonlinearity

We consider the following nonlinear Schrödinger equations in Rn

     

Determination of human skin optical properties in vivo from reflectance spectroscopic measurements

A novel approach has been proved to quickly and non-invasively determine the optical properties of human skin in vivo. It is based on the diffuse reflectance approximation model and subjected to the well established library of absorption spectra of water and hemoglobin. Under the nonlinear least-square algorithm, fitting the measured spectra in the range of 400-1000 nm to the diffusion approximation model, the reduced scattering coefficient and absorption coefficient of skin tissue can be quickly determined in vivo. The results show that this method is convenient and suitable for the real-time clinical application.     

Multipeak solutions for an elliptic system of Fitzhugh-Nagumo type

We consider the Dirichlet problem for an elliptic system of FitzHugh-Nagumo type. We prove that the problem has solutions with arbitrary many sharp peaks near the boundary but not on the boundary. The work of the first author was partially supported by the ARC     

Fenestration operation in middle ear bone with pulsed infrared lasers: an in-vivo study

The feasibility of fenestration operation in middle ear bone with pulsed infrared laser is evaluated. Healthy male New Zealand rabbits in vivo are used in the experiment. Middle ear mastoid bone of animal model is completely exposed with conventional methods, and then a pulsed CO2 laser （10.6 μm） and an Er：YAG laser （2.94 μm） are used to perform the fenestration operation. Diamond drill is also used as a control group. The total operation time and light irradiation time are recorded and the opening efficiency is assessed. The morphological changes and thermal damage around the opening window on the middle ear bone are examined. It is shown that both laser systems are suitable for the fenestration operation in middle ear bone, and this no-touch technique has a lot of benefits compared with traditional methods. The bleeding during operation has an important effect on operation time and thermal injury and needs to be controlled efficiently in further study.