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ASYMPTOTICALLY: 作品数：185被引量：240H指数：7; 导出分析报告; 相关领域：理学更多>>; 相关作者：薛丽霞刘启厚张银萍孙继涛杨正清更多>>; 相关机构：北京航空航天大学华东冶金学院华南师范大学华侨大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金中国博士后科学基金国家教育部博士点基金山东省自然科学基金更多>>

Critical collapse in asymptotically anti-de Sitter spacetime: 《Chinese Physics C》2025年第4期221-229,共9页Li-Jie Xin Cheng-Gang Shao; Supported by the National Natural Science Foundation of China(11925503).; We investigate the critical collapse of spherically symmetric scalar fields in asymptotically anti-de Sitter spacetime,focusing on two scenarios:real and complex scalar fields with potentials.By fine-tuning the amplit...; 关键词：critical collapse gravitational collapse anti-de Sitter spacetime

The positive energy theorem for weighted asymptotically anti-de Sitter spacetimes: 《Science China Mathematics》2025年第4期1001-1014,共14页Yaohua Wang Xiao Zhang; supported by National Natural Science Foundation of China(Grant No.12326602);the special foundation for Guangxi Ba Gui Scholars and Junwu Scholars。; The positive energy theorem for weighted asymptotically flat spin manifolds was proved by Baldauf and Ozuch(2022)and for the non-spin case by Chu and Zhu(2024).In this paper,we generalize the positive energy theorem f...; 关键词：positive energy theorem asymptotically anti-de Sitter spacetimes weighted initial data set

PSEUDO S-ASYMPTOTICALLY PERIODIC SOLUTIONS OF PARTIAL NEUTRAL DIFFERENTIAL EQUATIONS: 《数学杂志》2025年第2期140-150,共11页LIU Jing-huai ZHANG Li-tao; Supported by the National Natural Science Foundation of China(11226337);the Science and Technology Research Projects of Henan Education Committee(22B110017).; In this paper,we study the existence of pseudo S-asymptotically ω-periodic mild solutions of abstract partial neutral differential equations in Banach spaces.By using the principle of Banach contractive mapping,the e...; 关键词：pseudo S-asymptotically!-periodic function mild solution partial neutral differential equations

Critical collapse of massless scalar fields in asymptotically anti-de Sitter spacetime: 《Chinese Physics C》2024年第11期265-270,共6页Li-Jie Xin Cheng-Gang Shao; Supported by the National Natural Science Foundation of China (11925503);the Guangdong Major project of Basic and Applied Basic Research (2019B030302001).; We conduct numerical investigations on the critical collapse of spherically symmetric massless scalar fields in asymptotically anti-de Sitter spacetime.Our primary focus is on the behavior of the critical amplitude un...; 关键词：general relativity critical collapse gravitational collapse anti-de Sitter spacetime

Pseudo S-Asymptotically(ω,c)-Periodic Solutions to Fractional Differential Equations of Sobolev Type: 《Chinese Quarterly Journal of Mathematics》2024年第3期295-306,共12页MAO Hang-ning CHANG Yong-kui; supported by NSF of Shaanxi Province(Grant No.2023-JC-YB-011).; In this paper,we firstly recall some basic results on pseudo S-asymptotically(ω,c)-periodic functions and Sobolev type fractional differential equation.We secondly investigate some existence of pseudo S-asymptotical...; 关键词：Pseudo S-asymptotically(ω c)-periodic functions Evolution equations Sobolev type Fractional differential equations Existence and uniqueness

Existence and Uniqueness for the Non-Compact Yamabe Problem of Negative Curvature Type: 《Analysis in Theory and Applications》2024年第1期57-91,共35页Joseph Hogg Luc Nguyen; supported by the EPSRC Centre for Doctoral Training in Partial Differential Equations(grant number EP/L015811/1).; We study existence and uniqueness results for the Yamabe problem on non-compact manifolds of negative curvature type.Ourﬁrst existence and uniqueness result concerns those such manifolds which are asymptotically local...; 关键词：Yamabe problem non-compact manifolds negative curvature asymptotically locally hyperbolic asymptotically warped product relative volume comparison non-smooth conformal compactiﬁcation

THE LOGARITHMIC SOBOLEV INEQUALITY FOR A SUBMANIFOLD IN MANIFOLDS WITH ASYMPTOTICALLY NONNEGATIVE SECTIONAL CURVATURE: 《Acta Mathematica Scientia》2024年第1期189-194,共6页东瑜昕林和子陆琳根; Supported by the NSFC(11771087,12171091 and 11831005)。; In this note,we prove a logarithmic Sobolev inequality which holds for compact submanifolds without a boundary in manifolds with asymptotically nonnegative sectional curvature.Like the Michale-Simon Sobolev inequality...; 关键词：asymptotically nonnegative sectional curvature logarithmic Sobolev inequality ABP method

Existence of Solutions for a Quasilinear Schr?dinger Equation with Potential Vanishing: 《Acta Mathematicae Applicatae Sinica》2023年第3期696-706,共11页Yan-fang XUE Jian-xin HAN Xin-cai ZHU; the National Natural Science Foundation of China(No.11901499 and No.11901500);Nanhu Scholar Program for Young Scholars of XYNU(No.201912)。; We study the following quasilinear Schrodinger equation-△u+V(x)u-△(u^(2))u=K(x)g(u),x∈R^(3),where the nonlinearity g(u)is asymptotically cubic at infinity,the potential V(x)may vanish at infinity.Under appropriate ...; 关键词：quasilinear SchrOdinger equation vanishing potential asymptotically cubic mountain pass theorem

Relevant Region sampling strategy with adaptive heuristic for asymptotically optimal path planning被引量：2: 《Biomimetic Intelligence & Robotics》2023年第3期21-29,共9页Chenming Li Fei Meng Han Ma Jiankun Wang Max Q-H.Meng; supported by Shenzhen Key Laboratory of Robotics Perception and Intelligence(ZDSYS20200810171800001);the Hong Kong RGC GRF(14200618)awarded to Max Q.-H.Meng.; Sampling-based planning algorithm is a powerful tool for solving planning problems in highdimensional state spaces.In this article,we present a novel approach to sampling in the most promising regions,which significan...; 关键词：Path planning Asymptotical optimality Relevant Region Adaptive heuristic

A novel three-step implicit iteration process for threeΦ-hemicontractive mapping in the intermediate sense: 《Applied Mathematics(A Journal of Chinese Universities)》2023年第2期248-263,共16页Godwin Amechi Okeke Austine Efut Ofem; In this paper,we introduce a three-step composite implicit iteration process for approximating the common fixed point of three uniformly continuous and asymptotically generalizedΦ-hemicontractive mappings in the inte...; 关键词：xed point asymptotically genralizedΦ-hemicontractive mapping in the intermediate sense uniformly continuos implicit iteration process strong convergence Banach spaces

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