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ON MULTIPLE POSITIVE SOLUTIONS FOR A NONLINEAR ELLIPTIC PROBLEM IN R^N

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Chinese Annals of Mathematics,Series B 2000年第3期21卷 351-358页

作者： YANG HAITAO(department of Mathematics, zhejiang university, hangzhou 31002., china.) WU SHAOPING(department of Mathematics, zhejiang university, hangzhou 31002., china.) department of Mathematics Zhejiang University Hangzhou 310027 China

By making use of Variational method, the authors obtain some results about existence of multiple positive solutions and their asymptotic behavior as the parameter →＋∞ for a semilinear elliptic problem in RN.

关键词： Critical point Asymptotic behavior Concentration

Online uniform machine covering with the known largest size

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Progress in Natural Science:Materials International 2007年第11期17卷 1271-1278页

作者： Cao Shunjuan1,2 and Tan Zhiyi1,3(1. department of Mathematics, zhejiang university, hangzhou 31002., china 2. department of Mathematics, zhejiang Forestry university, hangzhou 311300, china 3. State Key Laboratory of CAD & CG, zhejiang university, hangzhou 31002., china) department of Mathematics Zhejiang University Hangzhou 310027 China department of Mathematics Zhejiang Forestry University Hangzhou 311300 China State Key Laboratory of CAD & CG Zhejiang University Hangzhou 310027 China

This paper investigates the semi-online scheduling problem with the known largest size on two uniform machines. The objective is to maximize the minimum machine completion time. Both lower bounds and algorithms are given. Algorithms are optimal for the majority values of s≥1, where s is the speed ratio of the two machines. The largest gap between the competitive ratio and the lower bound is about 0.064. Moreover, the overall competitive ratio 2 matches the overall lower bound.

关键词： scheduling and covering uniform machine design and analysis of algorithm online competitive ratio

SOBOLEV INEQUALITY ON RIEMANNIAN MANIFOLDS

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Chinese Annals of Mathematics,Series B 2005年第4期26卷 651-658页

作者： WANG MENG department of Mathematics, zhejiang university, hangzhou 31002., china School of Mathematical sciences, Pudan university, Shanghai 200433, china. department of Mathematics Zhejiang University Hangzhou 310027 China. School of Mathematical sciences Fudan University Shanghai 200433 China

Let M be an n dimensional complete Riemannian manifold satisfying the doublingvolume property and an on-diagonal heat kernel estimate. The necessary-sufficientcondition for the Sobolev inequality ‖f‖q ≤ Cn,,v,p,q(... 详细信息

关键词： Sobolev inequality Complete manifold Riesz transform Potential Heat kernel

A note on characterization of Hardy space H^1

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Science china Mathematics 2005年第4期48卷 448-455页

作者： WANG Silei department of Mathematics, zhejiang university, hangzhou 31002., china 1. department of Mathematics Zhejiang University 310028 Hangzhou China

An all-round answer is given to the following question: 'Find a necessary and sufficient size condition for an integrable compactly supported function on Rn with mean value zero to be in the Hardy space H1.' Stefanov ... 详细信息

关键词： Hardy space Riesz transform Hilbert transform

THE CONVERGENCE OF DURAND-KERNER METHOD FOR SIMULTANEOUSLY FINDING ALL ZEROS OF THE POLYNOMIAL

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Journal of Computational Mathematics 2000年第6期18卷 567-570页

作者： Dan-fu Han (department of Mathematics, zhejiang university, hangzhou 31002., china) 浙江大学浙江杭州 310028

In this paper we propose the two kinds of different criterions and use them to judge the convergence of Durand-Kerner method and to compare the obtained results with other methods. [ABSTRACT FROM AUTHOR]

关键词： Durand-Kerner method convergence two kinds of criterions

Genome organization and phylogenetic tree analysis of Garlic virus E,a new member of genus Allexivirus

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Chinese Science Bulletin 2002年第1期47卷 33-37页

作者： CHEN Jiong & CHEN JianpingCollege of Life sciences, zhejiang university, hangzhou 31002., china Virology department, zhejiang Academy of Agricultural sciences, hangzhou 31002., china College of Life sciences Zhejiang University Hangzhou China Virology department Zhejiang Academy of Agricultural Sciences Hangzhou China

The complete sequence of an Allexivirus iso-lated from garlic plants in Yuhang City, zhejiang Province, china had been determined. The single-strand, positive RNA genome was 8451 nucleotides in length excluding poly(A) tail. The genome organization of this virus was similar to that of the other Allexiviruses but only with 62.8%-64.8% nucleo-tide acid identities. The amino acid sequences of proteins encoded by ORFl-6 shared 67.6%-78.5%, 55.4%-66.2%, 56.7%-66.4%,40.3%-55.6%,66.3%-79.7%and 52.2%-68.8% identities with those of the others respectively. The homology range between it and the other Allexiviruses was similar to that between the other distinct species in this genus. A more comprehensive comparison using all available CP amino acid sequences showed that it shared only 63.9%-79.8% amino acids identical with the others. Therefore, it had been considered as a new member of the genus, named as garlic virus E (GarV-E). Phylogenetic analysis confirmed GarV-E as a distinct member and the correct names

关键词： genus Allexivirus garlic virus E nucleotide sequence classification.

Geochemical migration of arsenic and its environmental efect

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Journal of Environmental sciences 1997年第2期9卷 37-46页

作者： Weng Huanxin, Lan Xiang department of earth sciences, zhejiang university, hangzhou 31002., china

This paper presents the results of a field study regarding the transport and environmental fate of arsenic. Concentrations of arsenic and various forms of its compounds in rock, soil, river water, and river bottom deposits in an area near hangzhou, china, were measured and analyzed. On the basis of these field data, the source and interface transfer of arsenic were discussed. A few very interesting findings were reported. This paper indicates that there was relatively low arsenic concentration in Jing Hang Canal, whereas, rather high arsenic concentration in the river bottom mud was found. The paper attributed this phenomenon to mechanism of arsenic deposition and absorption in the water column, the canal has a rather high self purification ability relative to the arsenic input.

关键词： arsenic geochemical migration environmental effect.

Effect of background electrolytes on the adsorption of nitroaromatic compounds onto bentonite

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Journal of Environmental sciences 2009年第8期21卷 1044-1052页

作者： CHEN Baoliang, HUANG Wenhai department of Environmental Science, zhejiang university, hangzhou 31002., zhejiang, china. [a]department of Environmental Science Zhejiang University Hangzhou 310028 Zhejiang China

To further elucidate interaction of nitroaromatic compounds with mineral surface, the sorption of m-dinitrobenzene （m-DNB） and nitrobenzene to original bentonite in aqueous solution containing different electrolytes （i.e., KCl, NH4Cl, CaCl2 and Tetramethylammonium bromide （TMAB）） was studied. The sorption of m-DNB was greatly enhanced with the presence of KCl and NH4Cl, while little influence was observed with CaCl2 and TMAB, following the order of KCl 〉 NH4Cl 〉〉 TMAB, CaCl2, or DI water. For nitrobenzene, sorption enhancement only occurred at high nitrobenzene concentrations in the presence of KCl, and the solute equilibrium concentration at inflexion point was lowered with increasing KCl concentration. These sorption enhancements were significantly promoted with the increase of electrolyte concentration. The salting-out effect is insufficient to account for the sorption enhancement by original bentonite with increasing KCI or NH4Cl concentration. X-ray diffraction patterns of bentonite suspensions indicated that the sorption enhancement of m-DNB was attributed to the intercalation of K^＋ or NH4^＋ into bentonite interlayer and then dehydration with m-DNB to form inner-sphere complexes, which caused previously expanded bentonite interlayers to collapse in aqueous suspension, thus further enhanced the interaction of phenyl with siloxane surface. In comparison, the sorption enhancement of NB is attributed to the formation of outer-sphere complexes with K^＋ at high solute-loadings （〉 20（0-400 mg/kg）. The sorption of m-DNB to initially modified TMA^＋-bentonite and K^＋-bentonite was almost the same as respective sorption to original bentonite in solution containing TMA^＋ and K^＋.

关键词： sorption nitroaromatic compound bentonite cation type wastewater treatment

Mean size formula of wavelet subdivision tree on Heisenberg group

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Applied Mathematics(A Journal of Chinese Universities) 2008年第3期23卷 303-312页

作者： WANG Guo-mao department of Mathematics,zhejiang university,hangzhou 31002.,china department of Mathematics,hangzhou Dianzi university,hangzhou 310018,china. department of Mathematics Zhejiang University Hangzhou 310027 China department of Mathematics Hangzhou Dianzi University Hangzhou 310018 China

The purpose of this paper is to investigate the mean size formula of wavelet packets （wavelet subdivision tree） on Heisenberg group. The formula is given in terms of the p-norm joint spectral radius. The vector refinement equations on Heisenberg group and the subdivision tree on the Heisenberg group are discussed. The mean size formula of wavelet packets can be used to describe the asymptotic behavior of norm of the subdivision tree.

关键词： Heisenberg group wavelet packets subdivision tree joint spectral radius stability