共查询到20条相似文献,搜索用时 15 毫秒
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ON SYMMETRIC SCALAR CURVATURE ON 总被引:1,自引:0,他引:1
JI Min 《数学年刊B辑(英文版)》1999,20(3):325-330
1.IntroductionGivenacontinuousfunctionRonthestandardsphereS',itisaninterestingproblemwhetherRcanbethescalarcurvatureofsomemetricgwhichispointwiseconformaltothestandardmetricgoonS2.Ifwesetg~e"go,whereuisafunctiononS',theproblemisequivalenttothesolvabilityofthefollowingPDE:--A..u 2--Re"=0,onS2.(l'1)KazdanandWarner[9]pointedoutthatitmaybeinsolvable.Inthelastfewyears,alotofworkhasbeendonetosolveproblem(l.l),especiallywhenRpossessessomekindsofsymmetries.AfterthepioneerworkduetoMoser[lo]forthe… 相似文献
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康东升 《数学物理学报(B辑英文版)》2004,24(4):639-644
This paper is concerned with the quasi-linear equation with critical SobolevHardy exponent where Ω RN(N ≥ 3) is a smooth bounded domain, 0 ∈Ω, 0 ≤ s < p, 1 < p < N,p* (s) :=p(N- s)/N-p is the critical Sobolev-Hardy exponent, λ> 0,p ≤ r < p* ,p* := Np/N-p is the critical Sobolev exponent, μ> 0, 0 ≤ t < p, p ≤ q < p* (t) = P(N-t)/N-p.The existence of a positive solution is proved by Sobolev-Hardy inequality and variational method. 相似文献
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LIU ZHAOLI LI FUYI 《数学年刊B辑(英文版)》2000,(4)
i. Introduction and the Main TheoremIn this paper, we consider the elliptic boundary value problemwhere fi C RN is a bounded domain with smooth boundary off, f: R - R satisfieslocally Lipschitz condition and f(0) 2 0. By a solution u of (1.l) we mean a c… 相似文献
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标量曲率Finsler空间与Finsler度量的射影变换 总被引:1,自引:0,他引:1
本文研究了与一个Ricci平坦Finsler空间或一个常曲率Finsler空间射影相关的标量曲率Finsler空间.我们给出了这种标量曲率Finsler空间成为常曲率空间的充分必要条件.特别地,我们给出了射影平坦Finsler空间具有常曲率的条件. 相似文献
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Zhu Da xin 《数学年刊B辑(英文版)》1994,15(3):293-298
ACOMPLETEMETRICOFPOSITIVECURVATUREONR~nANDEXISTENCEOFCLOSEDGEODESICS¥ZHUDAXIN(DepartmentofMathematics,TianjinUniversitylTianj?.. 相似文献
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LI Yongxiang 《数学年刊B辑(英文版)》2004,25(3):413-420
In this paper the existence results of positive ω-periodic solutions are obtained forsecond order ordinary differential equation-u"(t)=f(t,u(t)) (t∈R), and also for firstorder ordinary differential equation u"(f)=f(t,u(t)) (t∈R), where f: R×R~ →Ris a continuous function which is ω-periodic in t. The discussion is based on the fixedpoint index theory in cones. 相似文献
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本文研究了一类中立型时滞差分方程的振动性和正解存在性,获得了该方程所有解振动的“Sharp”条件及存在正解的一个充分条件. 相似文献
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Qin Maochang 《Annals of Differential Equations》2006,22(4):546-550
Using the Krasnoselskii's fixed point theorem, the existence of positive periodic solutions to a class of nonlinear functional difference equations is studied in this paper. Some sufficient conditions for the existence of positive periodic solutions are presented. 相似文献
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Using variational method, the authors get an existence result for positive solutions of a superlinear elliptic boundary value
problem without assuming the P.S. condition. To prove the results in this paper, the authors adopt the method of gradient
flow and use a new class of truncation functions.
Project supported by the National Natural Science Foundation of China and the Research Fund for the Doctoral Program of Higher
Education of China. 相似文献
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EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS 总被引:3,自引:0,他引:3
In this paper an existence and uniqueness theorem of positive solutions to a class of semilinear elliptic systems is proved. Also, a necessary condition for the existence of the positive solution is obtained. As the application of the main theorem, two examples are given. 相似文献
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高维常平均曲率超曲面的数量曲率的空隙 总被引:1,自引:0,他引:1
许洪伟 《高校应用数学学报(A辑)》1993,(4):410-419
本文证明了当高维球面中闭常平均曲率超曲面M^n的平均曲率│H│<C(n)时,若M的数量曲率R为常数,则R不属于[a(n,H),a(n,H)+n/4),其中a(n,H)=n(n-9/4)+n^2(n-2)/2(n-1)H^2-n(n-2)/2(n-1)√n^2H^4+4(n-1)H^2。 相似文献
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Yu-hai Zhang 《计算数学(英文版)》2005,23(4):408-418
The Hermitian positive definite solutions of the matrix equation X-A^*X^-2 A=I are studied. A theorem for existence of solutions is given for every complex matrix A. A solution in case A is normal is given. The basic fixed point iterations for the equation are discussed in detail. Some convergence conditions of the basic fixed point iterations to approximate the solutions to the equation are given. 相似文献
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1引言设Rn×m表示所有n×m实矩阵集合,I表示单位矩阵,AT表示矩阵A的转置矩阵, ORn×n={P|PTP=I)表示列正交矩阵集,SORn×n={P|PT=P,P2=I}表示对称正交对称矩阵集.如无特别说明,本文中的矩阵P均指这类对称正交对称矩阵.在Rn×m上定义内积为 相似文献
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Zhou Detang 《数学年刊B辑(英文版)》1997,18(2):173-180
CONFORMALDEFORMATIONOFCOMPLETESURFACEWITHNEGATIVECURVATUREZHOUDETANGManuscriptreceivedOctober31,1994.RevisedAugust30,1995.D... 相似文献