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MANIFOLD: 作品数：522被引量：677H指数：10; 导出分析报告; 相关领域：理学更多>>; 相关作者：刘泉声刘学伟蒋占四徐增敏赵汝文更多>>; 相关机构：北京师范大学江苏德是和通信科技有限公司西华大学南开大学更多>>; 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重点基础研究发展计划国家教育部博士点基金更多>>

A CLASS OF INVERSE QUOTIENT CURVATURE FLOW IN THE ADS-SCHWARZSCHILD MANIFOLD: 《Acta Mathematica Scientia》2023年第6期2553-2572,共20页纪正超; supported by the Postdoctoral Fund of Zhejiang Province,China (ZJ2022004).; In this paper,we study the asymptotic behavior of a class of inverse quotient curvature flow in the anti-de Sitter-Schwarzschild manifold.We prove that under suitable convex conditions for the initial hypersurface,one...; 关键词：STAR-SHAPED quotient curvature support function

A NEW PROOF OF GAFFNEY’S INEQUALITY FOR DIFFERENTIAL FORMS ON MANIFOLDS-WITH-BOUNDARY:THE VARIATIONAL APPROACH à LA KOZONO-YANAGISAWA: 《Acta Mathematica Scientia》2022年第4期1427-1452,共26页Siran LI; supported by MOE-LSC Project#AF0710029/011。; Let(M,g_(0))be a compact Riemannian manifold-with-boundary.We present a new proof of the classical Gaffney inequality for differential forms in boundary value spaces over M,via a variational approach a la Kozono-Yanag...; 关键词：Gaffney’s inequality differential form Sobolev spaces on manifolds Bochner technique variational approach

EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A COUPLED SYSTEM OF KIRCHHOFF TYPE EQUATIONS: 《Acta Mathematica Scientia》2020年第6期1831-1848,共18页Yaghoub JALILIAN; In this paper,we study the coupled system of Kirchhoff type equations−(a+b∫R 3|∇u|2 dx)Δu+u=2αα+β|u|α−2 u|v|β,−(a+b∫R 3|∇v|2 dx)Δv+v=2βα+β|u|α|v|β−2 v,u,v∈H 1(R 3),x∈R 3,x∈R 3,where a,b>0,α,β>1 and...; 关键词：Kirchhoff equation Nehari-Pohožave manifold constrained minimization ground state solution

GROUND STATE SOLUTIONS OF NEHARI-POHOZAEV TYPE FOR A FR ACTIONAL SCHRODINGER-POISSON SYSTEM WITH CRITICAL GROWTH被引量：1: 《Acta Mathematica Scientia》2020年第4期1064-1080,共17页Wentao HUANG Li WANG; the Science and Technology Project of Education Department in Jiangxi Province(GJJ180357);the second author was supported by NSFC(11701178).; We study the following nonlinear fractional Schrodinger-Poisson system with critical growth:{(-△)sμ+μ+φμ=f(μ)+|μ|2s-2μ,x∈R3.(-△)tφ=μ2x∈R3,(0.1)where 03 and 2s=6/3-2s is the critical Sobolev e...; 关键词：fractional Schrodinger-Poisson system Nehari-Pohozaev manifold ground state solutions critical growth

A NOTE ON COMPLETE MANIFOLDS WITH FINITE VOLUME: 《Acta Mathematica Scientia》2014年第3期807-813,共7页邓洪存; In this article, we concern on complete manifolds with finite volume. We prove that under some assumptions about scalar curvature and the Yamabe constant, the manifolds must be compact, and we also give the diameter e...; 关键词：DIAMETER scalar curvature complete manifold with finite volume

EXISTENCE OF NODAL SOLUTION FOR SEMI-LINEAR ELLIPTIC EQUATIONS WITH CRITICAL SOBOLEV EXPONENT ON SINGULAR MANIFOLD被引量：2: 《Acta Mathematica Scientia》2013年第2期543-555,共13页刘晓春梅媛; supported by NSFC (11171261);RFDP (200804860046); In this article, we prove that semi-linear elliptic equations with critical cone Sobolev exponents possess a nodal solution.; 关键词：Cone Sobolev space critical exponent nodal solution

SINGULARLY PERTURBED SEMI-LINEAR BOUNDARY VALUE PROBLEM WITH DISCONTINUOUS FUNCTION被引量：2: 《Acta Mathematica Scientia》2012年第2期793-799,共7页丁海云倪明康林武忠曹扬; Supported by National Natural Science Foundation of China(11071075, 11171113);National Natural Science Foundation of China-subsidized by CAS Knowledge Innovation Project (30921064,90820307);Shang Natural Science Foundation(10ZR1409200);Division of Computational Science,E-institute of Shanghai Jiaotong University(E03004); A class of singularly perturbed semi-linear boundary value problems with discontinuous functions is examined in this article. Using the boundary layer function method, the asymptotic solution of such a problem is give...; 关键词：Singular perturbation asymptotic expansion boundary layer function in-variant manifold

SOME RESULTS ON PRODUCT COMPLEX FINSLER MANIFOLDS被引量：4: 《Acta Mathematica Scientia》2011年第4期1541-1552,共12页吴志成钟春平; supported by Program for New Century Excellent Talents in Fujian Provincial University;the Natural Science Foundation of China (10971170; 10601040); Let （M, F ） be the product complex Finsler manifold of two strongly pseudoconvex complex Finsler manifolds （M 1 , F 1 ） and （M 2 , F 2 ）. In this paper, we obtain the relationship between the Chern Finsler conne...; 关键词：complex Finsler manifold product manifold holomorphic curvature

CONFORMAL AND GENERALIZED CONCIRCULAR MAPPINGS OF EINSTEIN-WEYL MANIFOLDS被引量：1: 《Acta Mathematica Scientia》2010年第5期1739-1745,共7页Abdlkadir zdeger; In this article, after giving a necessary and sufficient condition for two Einstein- Weyl manifolds to be in conformal correspondence, we prove that any conformal mapping between such manifolds is generalized concircu...; 关键词：Einstein-Weyl manifold eonformal mapping generalized concircular mapping isotropic manifold

SLANT SUBMANIFOLDS OF A RIEMANNIAN PRODUCT MANIFOLD: 《Acta Mathematica Scientia》2010年第1期215-224,共10页Mehmet Ateken; In this article, the geometry of the slant submanifolds of a Riemannian product manifold is studied. Some necessary and sufficient conditions on slant, bi-slant and semi-slant submanifolds are given. We research funda...; 关键词：slant distribution slant submanifold semi-slant and bi-slant submanifold

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