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Regularity and Radial Symmetry of Positive Solutions for a Higher Order Elliptic System

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Acta Mathematicae Applicatae Sinica 2017年第2期33卷 551-560页

作者： Huai-yu ZHOU Su-fang TAnG School of Statistics Xi'an University of Finance and Economics Xi'an 710100 China

We discuss the properties of solutions for the following elliptic partial differential equations system in Rn,where 0 〈α〈 n, pi and qi （i = 1, 2） satisfy some suitable assumptions. Due to equivalence between the PDEs system and a given integral system, we prove the radial symmetry and regularity of positive solutions to the PDEs system via the method of moving plane in integral forms and Regularity Lifting Lemma. For the special case, when p1 ＋ p2= q1 ＋ q2 = n＋α/n-α, we classify the solutions of the PDEs system.

关键词： higher order elliptic system radial symmetry regularity the method of moving plane classification of solution

Clinicopathological characteristics and prognosis of gastric signet ring cell carcinoma

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World Journal of Clinical Cases 2022年第29期10卷 10451-10466页

作者： Hua-Kai Tian Zuo Zhang Zhi-Kun ning Jiang Liu Zi-Tao Liu Hao-yu Huang Zhen Zong Hui Li Department of General Surgery First Affiliated Hospital of Nanchang UniversityNanchang 330006Jiangxi ProvinceChina Department of Obstetrics and Gynecology Second Affiliated Hospital of Nanchang UniversityNanchang 330006Jiangxi ProvinceChina Department of Day Ward First Affiliated Hospital of Nanchang UniversityNanchang 330006Jiangxi ProvinceChina Department of Gastrointestinal Surgery Second Affiliated Hospital of Nanchang UniversityNanchang 330006Jiangxi ProvinceChina Department of Rheumatology and Immunology First Affiliated Hospital of Nanchang UniversityNanchang 330006Jiangxi ProvinceChina

BACKGROUnD The clinicopathological features and prognosis of gastric signet ring cell carcinoma(GSRC)remain controversial,particularly with regard to sensitivity to postoperative adjuvant *** To compare the pathological features of GSRC with those of gastric adenocarcinoma of different degrees of differentiation and the differences in survival prognosis between the different disease *** By screening gastric cancer patients from 2010 to 2015 in the database of Surveillance,Epidemiology and End Results,and collecting the clinicopathological and prognostic data of gastric cancer patients who underwent surgery from January 2014 to December 2016 in the Second Affiliated Hospital of nanchang University,we analyzed the general pathological characteristics of GSRC by the chi-square *** and multivariate analyses were conducted to compare the factors affecting the survival and prognosis of early and advanced gastric *** Kaplan-Meier curves were plotted to reveal the survival difference between early and advanced GSRC and different differentiated types of gastric *** prognosis model of advanced GSRC was established with R software,and the area under curve(AUC)and C-index were used to assess the accuracy of the *** Analysis of pathological features revealed that signet ring-cell carcinoma(SRC)was more frequently seen in younger(nd White patients compared to non-SRC *** was less commonly associated with early gastric cancer(EGC)(23.60%vs 39.10%),lower n0(38.61%vs 61.03%),and larger tumour sizes>5 cm(31.15%vs 27.10%)compared to the differentiated type,while the opposite was true compared to the undifferentiated *** prognostic analysis found no significant difference in the prognosis of SRC patients among EGC *** contrast,among advanced gastric cancer(AGC)patients,the prognosis of SRC patients was correlated with age,race,tumour size,AJCC stage,T-stage,and postop

关键词： Gastric adenocarcinoma Gastric signet ring cell carcinoma Pathological features Survival prognosis Prognostic model Adjuvant therapy

2D antimonene-integrated composite nanomedicine for augmented low-temperature photonic tumor hyperthermia by reversing cell thermoresistance

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Bioactive Materials 2022年第4期7卷 295-305页

作者： Jianrong Wu Xiaojun Cai Gareth R.Williams Zheying Meng Weijuan Zou Li Yao Bing Hu yu Chen yuanyi Zheng Department of Ultrasound in Medicine Shanghai Jiao Tong University Affiliated Sixth People’s HospitalShanghai200233PR China UCL School of Pharmacy University College LondonLondonWC1N 1AXUK Materdicine Lab School of Life SciencesShanghai UniversityShanghai200050PR China State Key Laboratory of Oncogenes and Related Genes School of MedicineShanghai Jiao Tong UniversityShanghai200233PR China

The overexpression of heat shock proteins(HSPs)in tumor cells can activate inherent defense mechanisms during hyperthermia-based treatments,inducing thermoresistance and thus diminishing the treatment ***,we report a distinct“non-inhibitor involvement”strategy to address this issue through engineering a calcium-based nanocatalyst(G/A@CaCO_(3)-PEG).The constructed nanocatalyst consists of calcium carbonate(CaCO_(3))-supported glucose oxidase(GOD)and 2D antimonene quantum dots(AQDs),with further surface modification by lipid bilayers and polyethylene glycol(PEG).The engineered G/A@CaCO_(3)-PEG nanocatalyst features prolonged blood circulation,which is stable at neutral pH but rapidly degrades under mildly acidic tumor microenvironment,resulting in rapid release of drug cargo in the tumor *** integrated GOD effectively catalyzes the depletion of glucose for reducing the supplies of adenosine triphosphate(ATP)and subsequent down-regulation of HSP *** effect then augments the therapeutic efficacy of photothermal hyperthermia induced by 2D AQDs upon irradiation with near-infrared light as assisted by reversing the cancer cells’***,synergistic antineoplastic effects can be achieved via low-temperature photothermal *** in vitro and in vivo evaluations have demonstrated that G/A@CaCO_(3)-PEG nanocatalysts feature potent antitumor activity with a high tumor-inhibition rate(83.92%).This work thus paves an effective way for augmenting the hyperthermia-based tumor treatments via restriction of the ATP supply.

关键词： Antimonene Heat shock proteins Photothermal therapy Glucose oxidase Calcium carbonate

nucleon Form Factors and n-△ Transitions in a Hypercentral Constituent Quark Model with Meson Cloud

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Communications in Theoretical Physics 2007年第3期47卷 539-546页

作者： CHEn Dina-Yong DOnG yu-Bing Institute of High Energy Physics the Chinese Academy of Sciences Beijing 100049 China Gradtuate School of the Chinese Academy of Sciences Beijing 100049 China

我们学习核子形式因素和核子 -- Δ(1232 ) 在亢奋的中央成分夸克的一个框架的转变当模特儿。介子介子云效果明确地被考虑。我们介子遮蔽的结果表演实质地作出贡献到核子形式因素以及到他合法地Δ(的振幅 1232 ) ，并且它与试验性的测... 详细信息

我们学习核子形式因素和核子 -- Δ(1232 ) 在亢奋的中央成分夸克的一个框架的转变当模特儿。介子介子云效果明确地被考虑。我们介子遮蔽的结果表演实质地作出贡献到核子形式因素以及到他合法地Δ(的振幅 1232 ) ，并且它与试验性的测量相比给一个改进协议。

关键词：超中心成分夸克模型介子云核子型因子核子-△(1232)跃迁

Facile Synthesis of Bi2MoO6 nanosheets@nitrogen and Sulfur Codoped Graphene Composites for Sodium-ion Batteries

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Chemical Research in Chinese Universities 2020年第1期36卷 115-119页

作者： XU Xin LI Mingyan yu Ting Division of Physics and Applied Physics School of Physical and Mathematical SciencesNanyang Technological University637371Singapore School of Electrical Engineering Xi'an Jiaotong UniversityXi'an 710049P.R.China

Recently,sodium-ion batteries gradually become the promising alternative to lithium-ion batteries because of cost *** this work,a kind of Bi2MoO6 nanosheets@n,S codoped graphene composite is designed and fabricated for sodium storage *** characterizations are employed to investigate its morphology,structure and chemical *** evaluated as an anode material for sodium-ion batteries,the as-prepared composite is able to display a specific capacity of 254 mA·h/g after 50 cycles at a current density of 0.2 A/g,and 186 mA·h/g at 1.6 A/g during the rate capability *** a result,the further morphology and structure optimization is still required for high performance sodium-ion batteries.

关键词： Bi2MoO6 nanosheet Codoped graphene Composite Sodium-ion battery

A multi-transition molecular line study of infrared dark cloud G331.71+00.59

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Research in Astronomy and Astrophysics 2013年第1期13卷 28-38页

作者： nai-Ping yu Jun-Jie Wang national Astronomical Observatories Chinese Academy of Sciences nAOC-TU Joint Center for Astrophysics

Using archive data from the Millimeter Astronomy Legacy Team Survey at 90 GHz （MALT90）, carried out using the Mopra 22-m telescope, we made the first multi-transition molecular line study of infrared dark cloud （IRDC） MSXDC G331.71＋00.59. Two molecular cores were found embedded in this IRDC. Each of these cores is associated with a known extended green object （EGO）, indicating places of massive star formation. The HCO＋（1-0） and HnC （1-0） transitions show promi- nent blue or red asymmetric structures, suggesting outflow and inflow activities of young stellar objects （YSOs）. Other detected molecular lines include H13CO＋（1- 0）, C2H （1-0）, HC3n （10-9）, HnCO（40,4-30,3） and SiO （2-1）, which are typical of hot cores and outflows. We regard the two EGOs as evolving from the IRDC to hot cores. Using public GLIMPS data, we investigate the spectral energy distribution of EGO G331.71＋0.60. Our results support this EGO being a massive YSO driving the outflow. G331.71＋0.58 may be at an earlier evolutionary stage.

关键词： stars: formation -- ISM: outflows -- ISM: molecules

An Immunization Strategy for Social network Worms Based on network Vertex Influence

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中国通信：英文版 2015年第7期12卷 154-166页

作者： YAnG Wei WAnG Haibo YAO yu Software College Northeastern University Heinz College Carnegie Mellon University College of Information Science and Engineering Northeastern University

Along with the rapid development of social networks, social network worms have constituted one of the major internet security problems. The root of worm is the inevitable software vulnerability during the design and implementation process of software. So it is hard to completely avoid worms in the existing software engineering systems. Due to lots of bandwidth consumption, the patch cannot be transmitted simultaneously by the network administrator to all hosts. This paper studies how to prevent the propagation of social network worms through the immunization of key nodes. Unlike existing containment models for worm propagation, a novel immunization strategy is proposed based on network vertex influence. The strategy selects the critical vertices in the whole network. Then the immunization is applied on the selected vertices to achieve the maximal effect of worm containment with minimal cost. Different algorithms are implemented to select vertices. Simulation experiments are presented to analyze and evaluate the performance of different algorithms.

关键词：网络蠕虫免疫策略社会网络顶点软件漏洞传播模型网络管理员网络安全

A nOnOVERLAPPInG DOMAIn DECOMPOSITIOn METHOD FOR EXTERIOR 3-D PROBLEM

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Journal of Computational Mathematics 2001年第1期19卷 77-86页

作者： De-hao yu Ji-ming Wu State Key Laboratory of Scientific and Engineering Computing Institute of Computational Mathematics and Scientific/Engineering ComputingChinese Academy of SciencesBeijing 100080China Laboratory of Computational Physics Institute of Applied Physics and Computational MathematicsBeijing 100088China

Examines a nonoverlapping domain decomposition method based on the natural boundary reduction. Development of the D-n alternating algorithm; Studies the convergence of the D-n method for exterior spherical domain; Dis... 详细信息

关键词： domain decomposition D-n algorithm exterior 3-D problem

Quasilinear Elliptic Equations with neumann Boundary and Singularity

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Acta Mathematicae Applicatae Sinica 2009年第4期25卷 631-646页

作者： Bing-yu Kou Shuang-jie Peng School of Mathematics and Statistics Central China Normal University Wuhan 430079 China Institute of Science PLA University of Science and Technology Nanjing 210007 China

Let Ω be a bounded domain with a smooth C2 boundary in Rn（n ≥ 3）, 0 ∈Ω, and n denote the unit outward normal to ЭΩ.We are concerned with the neumann boundary problems： -div（｜x｜α｜△u｜p-2△u）=｜x｜βup（α,β）-1-λ｜x｜γup-1,u（x）〉0,x∈Ω,Эu/Эn=0 on ЭΩ,where 1〈p〈n and α〈0,β〈0 such that p（α,β）△=p（n＋β）/n-p＋α〉p,y〉α-*** various parameters α,βorγ,we establish certain existence results of the solutions in the case 0∈Ω or 0∈ЭΩ.

关键词： Singular equations Caffarelli-Kohn-nirenberg inequalities critical exponents ground state sloutions