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国家自然科学基金(10071080): 作品数：17被引量：41H指数：5; 导出分析报告; 相关作者：陈祖墀钟金标曾有栋邓昊刘兴涛更多>>; 相关机构：中国科学技术大学福州大学更多>>; 相关期刊：《中国科学技术大学学报》《Acta Mathematica Sinica,English Series》《福州大学学报（自然科学版）》《Acta Mathematicae Applicatae Sinica》更多>>; 相关主题：英文SCHAUDERCOMPACT可解性整体解更多>>; 相关领域：理学更多>>

Nonlinear Biharmonic Equations with Critical Potential被引量：6: 《Acta Mathematica Sinica,English Series》2005年第6期1285-1294,共10页Hui XIONG Yao Tian SHEN; the National Natural Science Foundation of China (Nos.10171032,10071080,10101024); In this paper, we study two semilinear singular biharmonic equations： one with subcritical exponent and critical potential, another with sub-critical potential and critical exponent. By Pohozaev identity for singular...; 关键词：Critical potential SINGULARITY Critical dimensions Disappear

Oscillation Theorems for Second Order Damped Nonlinear Differential Equations: 《Chinese Quarterly Journal of Mathematics》2005年第1期1-9,共9页HEWan-sheng LIWan-tong; Supported by the NNSF of China(10071080); Several oscillation criteria are given for the second order nonlinear differential equation with damped term of the form [α(t)(y'(t))σ]' +p(t)(y'(t))σ+ q(t)f(y(t)) = 0, where α∈C(R, (0,∞)), p(t) and q(t) are all...; 关键词：OSCILLATION second order nonlinear differential equation DAMPING

Compact Space-like Submanifolds in Pseudo-Riemann Manifold被引量：1: 《Chinese Quarterly Journal of Mathematics》2004年第1期6-15,共10页SUNHe-jun WUBao-qiang; Supported by the NNSF of China(10071080); We first establish a integral inequality for compact maximal space-like subman ifolds in pseudo-Riemannian manifolds Np(n+p). Then, we investigate compact space-like sub manifolds and hupersurfaces with parallel secon...; 关键词：pseudo-Riemannian manifold SUBMANIFOLD HYPERSURFACE parallel second fundamental form space-like

拟线性抛物型不等方程整体解的不存在性(英文): 《中国科学技术大学学报》2004年第3期273-282,共10页魏公明陈祖墀; TheprojectsupportedbyNNSFofChina (No .10 0 710 80andNo .10 10 10 2 4); 利用先验估计和一些经典不等式证明了一类拟线性抛物型不等方程整体解的不存在性 ,并给出了一类具较强拟线性的抛物型不等式方程整体解的比较原理。; 关键词：拟线性抛物型不等方程整体解不存在性

一类半线性双调和方程的分歧问题(英文): 《中国科学技术大学学报》2004年第3期283-294,共12页赵昆陈祖墀; TheprojectsupportedbyNNSFC (No .10 0 710 80andNo .10 10 10 2 4 ); 利用算子理论、拓扑度理论及Rabinowitz大范围分歧定理等研究工具 ,对一类半线性双调和方程齐次边值问题的整体分歧现象进行了研究 ,进而研究了无穷分歧现象 .; 关键词：整体分歧半线性双调和方程 Leray—Schauder度

Restricted Edge Connectivity of Binary Undirected Kautz Graphs被引量：3: 《Chinese Quarterly Journal of Mathematics》2004年第1期47-50,共4页OU Jian-pingDepartment of Mathematics, Shantou University, Shantou 515063, China Department of Mathematics, Zhangzhou Normal College, Zhangzhou 363000, China; Supported by the NNSF of China(10271105); Supported by the NSF of Fujian EducationMinistry(JA03145); Supported by the NNSF of China(10071080); A restricted edge cut is an edge cut of a connected graph whose removal resultsin a disconnected graph without isolated vertices. The size of a minimum restricted edge cutof a graph G is called its restricted edge con...; 关键词：Kautz graph CONNECTIVITY RESTRICTED

一类拟线性方程组的可解性被引量：5: 《应用数学学报》2003年第3期420-426,共7页钟金标陈祖墀; 国家自然科学基金(10071080号);安徽省教委自然科学基金(99J10142号); 本文利用上下解方法和Leray-Schauder不动点定理证明了一类拟线性方程组弱解的存在性定理,同时研究了方程组解的唯一性,做为定理的应用,给出了一个实例。; 关键词：拟线性方程上下解 LERAY-SCHAUDER不动点定理弱解存在性唯一性边值问题一致椭园算子

奇非线性多调和方程的整体正解(英文)被引量：2: 《中国科学技术大学学报》2003年第5期524-532,共9页汪全珍陈祖墀; ProjectsupportedbyNNSFofChina (No .10 0 710 80and 10 10 10 2 4); 证明了具有奇性的一类非线性多调和方程在Rn(n≥ 3)上的整体正解的存在性和多解性 ,用两个具体的例子说明定理的应用 .; 关键词：多调和方程整体正解 Schauder-Tychonov不动点定理

一类加权Sobolev空间中重调和算子的特征值估计(英文)被引量：4: 《中国科学技术大学学报》2003年第2期134-143,共10页邓昊陈祖墀; ProjectsupportedbyNNSFC (10 0 710 80 )andNNSFCforYoungScholars (No .10 10 10 2 4 ); 论文讨论了加权Sobolev空间W1,p0 (Ω ,w(x) )中重调和方程Δ2 u- μw(x)u =0 ,uΩ=0的特征值估计 ,其中Ω Rm 是边界光滑的有界区域 ,w(x) ∈L∞ 有界 .在m ≥ 2的情况 ,对 μi,i=1 ,… ,n做出了逐步加细的三个估计 .; 关键词：加权SOBOLEV空间重调和算子特征值估计重调和方程有界区域

EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS被引量：9: 《Acta Mathematica Scientia》2002年第4期451-458,共8页钟金标陈祖墀; The project supported by NNSF of China(10071080); 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 a...; 关键词：positive solution semilinear elliptic system compact and positive operator

国家自然科学基金(10071080)