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| 1 | Multiple solutions for a Schrdinger-Poisson-Slater equation with external Coulomb potential显示文摘Consider the following Schrdinger-Poisson-Slater system,(P)u+ω-β|x|u+λφ(x)u=|u|p-1u,x∈R3,-φ=u2,u∈H1(R3),whereω>0,λ>0 andβ>0 are real numbers,p∈(1,2).Forβ=0,it is known that problem(P)has no nontrivial solution ifλ>0 suitably large.Whenβ>0,-β/|x|is an important potential in physics,which is called external Coulomb potential.In this paper,we find that(P)withβ>0 has totally different properties from that ofβ=0.Forβ>0,we prove that(P)has a ground state and multiple solutions ifλ>cp,ω,where cp,ω>0 is a constant which can be expressed explicitly viaωand p. | JIANG YongSheng ZHOU HuanSong | 2014 | Science China Mathematics2014，57，6： | 5 |
| 2 | The Existence of a Weak Solution of Inhomogeneous Quasilinear Elliptic Equation with Critical Growth Conditions | Li Gongbao Zhou Huansong Wuhan Institute of Mathematical Sciences Academia Sinica P. O. Box 71007 Wuhan, 430071 China | 1995 | Acta Mathematica Sinica,English Series1995，11，2： | 3 |
| 3 | Protective effect of Sijunzi decoction on neuromuscular junction ultrastructure in autoimmune myasthenia gravis rats显示文摘OBJECTⅣE: To investigate the protective role of Sijunzi decoction in neuromuscular junction(NMJ)and muscle cell mitochondria ultrastructure; as well as its effects on the amount of adenosine triphosphate(ATP) and the activities of mitochondrial respiratory chain complexes I, Ⅱ, Ⅲ, and Ⅳ in autoimmune myasthenia gravis rats.METHODS: An experimental autoimmune myasthenia gravis(EAMG) rat model was established by inoculating rats with acetylcholine receptors extracted from Torpedo. Rats were divided into three groups: model, prednisone, and Sijunzi decoction, and were fed physiological saline, prednisone, or Sijunzi decoction, respectively. NMJ and muscle cell mitochondria ultrastructure were observed by transmission electron microscope. The amount of ATP was assessed by high performance liquid chromatography. The activities ofmitochondrial respiratory chain complexes I, Ⅱ, Ⅲ,and Ⅳ was determined using the Clark oxygen electrode method.RESULTS: In the model group, there were sparse muscle fibers, with decreased mitochondria, and sparse, diffluent, or absent NMJ folds. After intervention with Sijunzi decoction, the above pathology changes were improved: muscle fiber structure was clear and complete; the mitochondria count was higher; and the NMJ structure was close to normal. Gastrocnemius muscle mitochondria in the model group produced significantly less ATP than those in the prednisone group(P<0.01). Conversely, the ATP of Sijunzi decoction group was significantly higher than prednisone group(P<0.01). The activities of gastrocnemius muscle mitochondrial respiratory chain complexes I, Ⅱ, Ⅲ, and Ⅳ in both the prednisone and Sijunzi decoction groups was dramatically higher compared with the model group(P<0.05). The activities of complexes I and Ⅲ in the Sijunzi decoction group were significantly higher than those in the prednisone group(P<0.05), but there was no obvious difference in complex Ⅱ or Ⅳ activities between the two groups(P>0.05).CONCLUSION: Sijunzi decoction improved pathological changes in muscle mitochondria and NMJ,enhanced the amount of ATP in gastrocnemius muscle mitochondria, and improved the activities of respiratory chain complexes I, Ⅱ, Ⅲ, and Ⅳ(especially I and Ⅲ) of the EAMG rats. | HaibinWu Shifeng She Youzhang Liu Wensheng Xiong Yalei Guo Huansong Fang Hong Chen Jia Li | 2013 | Journal of Traditional Chinese Medicine2013，33，5： | 3 |
| 4 | On the Existence of Multiple Solutions of Nonhomogeneous Elliptic Equations Involving Critical Sobolev Exponents显示文摘 | Zhou Huansong | 1996 | Z Angew Math Phys1996，47，1： | 1 |
| 5 | On-board fault diagnosis of automated manual transmission control system 显示文摘 | Qin Guihe Ge Anlin Li Huansong | 2004 | Contrnl Systems Technology2004，12，2： | 1 |
| 6 | On-board fault diagnosis of automated manual transmission control system显示文摘 | Qin Guihe Ge A Li Huansong | 2004 | Control Systems Technology2004，12，4： | 1 |
| 7 | Multiple solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent显示文摘 | CAO Daomin LI Gongbao ZHOU Huansong | | 0，，： | 1 |
| 8 | Multiple Solutions to p-Laplacian Problems with Asymptotic Noulinearith as u^p- 1 at Infinity显示文摘 | Li Gongbao Zhou Huansong | 2002 | J London Math SOc2002，，65： | 1 |
| 9 | Multipile solutions to p-Laplacian problems with asymptotic nonlinearity as u^(p- 1) at ininity显示文摘 | Li Gongbao Zhou Huansong | 2002 | Journal of the London Mathematical Society2002，65，2： | 1 |
| 10 | Asymptotically linear Dirichlet problem for the p-Lapalieain 显示文摘 | LI Gongbao ZHOU Huansong | 2001 | Nonl Anal TMA2001，43，： | 1 |
| 11 | Research of air drive AMT fault diagnostic system based on models 显示文摘 | QIN Guihe GE Anlin LI Huansong | 2004 | IEEE Trans Control Syst Technol2004，12，4： | 1 |
| 12 | Solutions to semilinear elliptic problems with combined nonlinearities 显示文摘 | Li Shujie Wu Shaoping Zhou Huansong | 2002 | J Differential Equations2002，，185： | 1 |
| 13 | The identification of antioxidants in dark soy sauce 显示文摘 | HUANSONG WANG ANDREW M JENNER CHUNG YUNG J LEE | 2007 | Free Radical Research2007，41，4： | 1 |
| 14 | Cautions in the use of biomarkers of oxidative damage; the vascular and antioxidant effects of dark soy sauce in hu- mans显示文摘 | Chung-Yung J Lee Helen B Isaac Huansong Wang | 2006 | Biochemical and Biophysical Research Communi- cations2006，344，3： | 1 |
| 15 | Bifurcation from the essential spectrum for an elliptic equation with general nonlinearities显示文摘In this paper,based on some prior estimates,we show that the essential spectrum λ=0 is a bifurcation point for a superlinear elliptic equation with only local conditions,which generalizes a series of earlier results on an open problem proposed by Stuart(1983). | Jianjun Zhang Xuexiu Zhong Huansong Zhou | 2023 | Science China Mathematics2023，66，10： | 0 |
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