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REFINED CONSERVATION LAW FOR AN EVEN ORDER ELLIPTIC SYSTEM WITH ANTISYMMETRIC POTENTIAL

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Acta Mathematica Scientia 2024年第6期44卷 2111-2124页

作者：郭常予向长林郑高峰 Research Center for mathematics and Interdisciplinary Sciences Shandong University department of Physics and mathematics University of Eastern Finland Three Gorges Mathematical Research Center China Three Gorges University School of mathematics and Statistics Central China Normal University

Conservation law plays a very important role in many geometric variational problems and related elliptic *** this note,we refine the conservation law obtained by Lamm-Rivière for fourth order systems and de Longuevil... 详细信息

关键词： 35J35 58E20 antisymmetric potential conservation law even order elliptic system Uhlenbeck’s gauge transform weak compactness

Uniqueness of the Reissner-Nordstrom metric near the null infinity

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Science china mathematics 2024年第8期67卷 1933-1956页

作者： Xiaokai He Xiaoning Wu Naqing Xie School of mathematics and Statistics Hunan First Normal UniversityChangsha 410205China Institute of mathematics Academy of Mathematics and Systems Science and Hua Loo-Keng Key Laboratory of MathematicsChinese Academy of SciencesBeijing 100190China School of Mathematical Sciences Fudan UniversityShanghai 200433China

In the Newman-Penrose formalism,we prove that the Reissner-Nordstrom metric is the only asymptotically fat,static,axially symmetric,Petrov type-D analytic solution of the electro-vacuum Einstein-Maxwell equations near... 详细信息

关键词： uniqueness theorem Reissner-Nordstrom metric Newman-Penrose formalism

Genetic engineering drives the breakthrough of pig models in liver disease research

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Liver Research 2024年第3期8卷 131-140页

作者： Chenhao Xu Xixi Fang Xiao Xu Xuyong Wei zhejiang university School of Medicine HangzhouZhejiangChina department of Hepatobiliary and Pancreatic Surgery Hangzhou First People’s HospitalHangzhouZhejiangChina Key Laboratory of Integrated Oncology and Intelligent Medicine of zhejiang Province HangzhouZhejiangChina Hangzhou normal university HangzhouZhejiangChina School of Clinical Medicine Hangzhou Medical CollegeHangzhouZhejiangChina NHC Key Laboratory of Combined Multi-organ Transplantation HangzhouZhejiangChina Institute of Translational Medicine Zhejiang UniversityHangzhouZhejiangChina

Compared with the widely used rodents,pigs are anatomically,physiologically,and genetically more similar to humans,making them high-quality models for the study of liver ***,we review the latest research progress on pigs as a model of human liver disease,including methods for establishing them and their advantages in studying cystic fibrosis liver disease,acute liver failure,liver regeneration,non-alcoholic fatty liver disease,liver tumors,and *** also emphasize the importance of genetic engineering techniques,mainly the CRISPR/Cas9 system,which has greatly enhanced the utility of porcine models as a tool for substantially advancing liver disease *** engineering is expected to propel the pig as one of the irreplaceable animal models for future biomedical research.

关键词： Animal model Liver disease Genetic engineering CRISPR/Cas9 Xenogeneic liver transplantation Pig

Double Moving Extremes Ranked Set Sampling Design

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Acta Mathematicae Applicatae Sinica 2024年第1期40卷 75-90页

作者： Meng Chen Wang-xue Chen Rui Yang department of mathematics and Statistics Jishou UniversityJishou416000China

The traditional simple random sampling(SRS)design method is inefficient in many *** proposed some new designs to increase *** this paper,as a variation of moving extremes ranked set sampling(MERSS),double MERSS(DMERSS)is proposed and its properties for estimating the population mean are *** turns out that,when the underlying distribution is symmetric,DMERSS gives unbiased estimators of the population ***,it is found that DMERSS is more efficient than the SRS and MERSS methods for usual symmetric distributions(normal and uniform).For asymmetric distributions considered in this study,the DMERSS has a small bias and it is more efficient than SRS for usual asymmetric distribution(exponential)for small sample sizes.

关键词： double moving extremes ranked set sampling symmetric distribution efficiency

Observational signatures of rotating black holes in the semiclassical gravity with trace anomaly

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Chinese Physics C 2024年第8期48卷 257-265页

作者： Zhenyu Zhang Yehui Hou Minyong Guo department of Physics Peking UniversityBeijing 100871China department of Physics Beijing Normal UniversityBeijing 100875China

In a recent work by Fernandes[***.D 108(6),L061502(2023)],an exact stationary and axisymmetric solution was discovered in semiclassical gravity with type-A trace *** was identified as a quantum-corrected version of the Kerr black *** this study,we explore the observational signatures of this black hole *** investigation reveals that prograde and retrograde light rings exist,whose radii increase monotonically with the coupling parameterα.Whenαis negative,the shadow area for the quantum-corrected black hole is smaller than that of the Kerr black hole,whereas whenαis positive,the area is *** a near-extremal black hole,its high-spin feature(the NHEKline)is found to be highly susceptible to disruption byα.Furthermore,we discuss the images of the quantum-corrected black hole in the presence of a thin accretion disk and compare them to those of the Kerr black *** study highlights the importance of near-horizon emission sources in detecting the effects of quantum corrections by black hole images.

关键词： quantum-corrected rotating black hole light rings black hole shadow

Positive Solutions of Second Order Discrete Problem on Infinite Intervals

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Journal of Mathematical Research with Applications 2024年第4期44卷 511-520页

作者： Haiyi WU Tianlan CHEN department of mathematics Northwest Normal University

In this paper,by using the discrete Arzelá-Ascoli Lemma and the fixed-point theorem in cones,we discuss the existence of positive solutions of the following second order discrete Sturm-Liouville boundary value problem on infinite intervals■where?u(x)=u(x+1)-u(x) is the forward difference operator,■is continuous,a>0,B and C are nonnegative constants,■

关键词： positive solutions second order discrete problems infinite intervals fixed-point theorem in cones

Existence of Solutions for Systems of k-Dimensional Minkowski-Curvature Problems with Neumann Conditions

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Journal of Mathematical Research with Applications 2024年第1期44卷 35-42页

作者： Tianlan CHEN Yali ZHAO Haiyi WU department of mathematics Northwest Normal University

We prove the existence of solutions of the system for nonlocal Neumann problems with Minkowski-curvature operator■,where k,N≥1 are integers,f:[0,1]×Rk→Rkis continuous and g:[0,1]→Rkis a function of bounded *** pr... 详细信息

关键词： Minkowski-curvature operator Perturbation method Neumann problem solutions

Weakly Approximate Diagonalization of Homomorphisms into Finite von Neumann Algebras

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Acta Mathematica Sinica,English Series 2024年第9期40卷 2187-2194页

作者： Wen Hua QIAN Jun Hao SHEN Wen Ming WU School of Mathematical Sciences Chongqing Normal UniversityChongqing 401331P.R.China department of mathematics and Statistics University of New HampshireDurhamNH 03824USA

Let A be a unital C^(∗)-algebra and B a unital C^(∗)-algebra with a faithful traceτ.Let n be a positive *** give the definition of weakly approximate diagonalization(with respect toτ)of a unital homomorphismφ:A→Mn(B).We give an equivalent characterization of McDuff Ⅱ_(1) *** show that,if A is a unital nuclear C^(∗)-algebra and B is a type Ⅱ_(1) factor with faithful traceτ,then every unital^(∗)-homomorphism φ:A→M_(n)(B)is weakly approximately *** B is a unital simple infinite dimensional separable nuclear C^(∗)-algebra,then any finitely many elements in Mn(B)can be simultaneously weakly approximately diagonalized while the elements in the diagonals can be required to be the same.

关键词： Weakly approximately diagonalizable McDuff factors nuclear hyperfinite

Finite p-groups with abelian maximal subgroups generated by two elements

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Frontiers of mathematics in china 2024年第1期19卷 1-12页

作者： Zhixiu LI Haipeng QU department of mathematics Jinzhong UniversityJinzhong 030619China School of mathematics and Computer Science Shanxi Normal UniversityTaiyuan 030032China

Assume that G is a finite non-abelian *** G has an abelian maximal subgroup whose number of Generators is at least n,then G is called an M_(n)-*** p=2,M_(2)-groups have been *** odd prime p,this paper provides the iso... 详细信息

关键词： Finite p-group regular p-group abelian maximal subgroupnumber of Generators