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ON THE EXISTENCE OF INFINITELY MANY CRITICAL POINTS OF THE EVEN FUNCTIONAL integral from n=Ω to (F（x, u, Du）dx) IN W01,p

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Acta math.matica Scientia 1987年第2期7卷 187-195页

作者：沈尧天,郭信康 dept. of math. University of science & Technology of China dept. of math. Guangxi University dept. of math. & Mech. South China Institute of Technology Guangzhou

§1. Introduction In the paper [1], Pacella and Tricarico proved that the existence of infinitely many critical points of even functional integral from Ω to (F（x,u,Du）dx) in space W01,2. As far as our knowledge goes, the paper [1] is the first investigation of general functional integral from Ω to (F（x,u,Du）dx) in Hilbert space W01,2, but the techniques used in the paper[1], was restricted to Hilbert space. In the same year as when [1] had published, we independently proved [2] the

关键词： ON THE EXISTENCE OF INFINITELY MANY CRITICAL POINTS OF THE EVEN FUNCTIONAL integral from n to Du)dx IN W0

Φ-INEQUALITIES AND LAWS OF LARGE NUMBERS OF HARDY MARTINGALETRANSFORMS

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Acta math.matica Scientia 1997年第3期17卷 269-275页

作者：刘培德吐尔德别克 dept. of math. Wuhan University Wuhan 430071 China dept. of math. Xinjiang University Ulumuqi 830046 China

Using stopping time method we proved the Φ-inequalities, pointwise convergence, strong and weak laws of large numbers of Hardy martingale transforms with values in complex Banach spaces, and applying them to give sev... 详细信息

关键词： AUMD space Hardy martingale martinale transform geometry of complex Banach space

Inverse limits of hereditarily almost expandable class

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Applied math.matics(A Journal of Chinese Universities) 2009年第2期24卷 237-244页

作者： ZHAO Bin dept. of math. Kashgar Teacher＇s College Kashgar 844007 China dept. of math. ＆ Informatics Faculty of Science Chiba Univ. Chiba 263 - 8522 Japan

In this paper, the hereditarily almost expandability of inverse limits is investigated, with two results obtained. Let X be the inverse limit space of an inverse system （Xα, π^αβ, ∧}. （1） Suppose X is hereditarily κ-metacompact, if each Xα is hereditarily pointwise collectionwise normal （almost θ-expandable, almost discrete θ-expandable）, then so is X; （2） Suppose X is hereditarily κ-σ-metacompact, if each Xα is hereditarily almost σ-expandable （almost discrete σ-expandable = σ-pointwise collectionwise normal）, then so is X.

关键词： inverse limit space κ-metacompactness κ-σ-metacompactness hereditarily pointwise collection- wise normal hereditarily almost θ-expandable hereditarily almost σ-expandable

Multilinear singular and fractional integrals on weighted Hardy spaces

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Applied math.matics(A Journal of Chinese Universities) 2009年第2期24卷 214-220页

作者： ZHANG Pu LAN Jia-cheng dept. of math. Mudanjiang Teachers College Mudanjiang 157012 China dept. of math. Lishui College Lishui 323000 China

In this paper the boundedness properties of multilinear singular and fractional integrals on the weighted Hardy spaces are studied.

关键词： multilinear singular integral multilinear fractional integral Lipschitz function L^r-Dini condition weighted Hardy space

Boundedness for multilinear fractional integral operators on Herz type spaces

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Applied math.matics(A Journal of Chinese Universities) 2008年第4期23卷 437-446页

作者： SHI Yan-long TAO Xiang-xing dept. of math. Faculty of Science Ningbo Univ. Ningbo 315211 China

In this paper the boundedness for the multilinear fractional integral operator Iα^（m） on the product of Herz spaces and Herz-Morrey spaces are founded, which improves the Hardy- Littlewood-Sobolev inequality for classical fractional integral Iα. The method given in the note is useful for more general multilinear integral operators.

关键词： multilinear fractional integral Herz space homogeneous Herz-Morrey space product space

INITIAL BOUNDARY VALUE PROBLEMS FOR A CLASS OF NONLINEAR INTEGRO－PARTIAL DIFFERENTIAL EQUATIONS

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Applied math.matics and Mechanics(English Edition) 1994年第4期15卷 389-404页

作者：崔尚斌屈长征 dept. of math. Lanzhou Univ. Lanzhou dept. of math. Northwest Univ. Xi'an

This paper studies the global existence of the classical solutions to the following problem:This problem describes the nonlinear vibrations of finite rods with nonlinear vis-coelasticity. Under certain conditions on ... 详细信息

关键词： integro-partial differential equation initial value problem global classical solution

APPLICATIONS OF THE THREE CRITICAL POINTS THEOREM IN QUASILINEAR ELLIPTIC EQUATIONS

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Acta math.matica Scientia 1985年第3期5卷 279-288页

作者：沈尧天 ,郭信康 dept. of math. University of Science & Technology of China Hefei China dept. of math. Guangxi University Nanning China

In this paper, using the three critical points theorem which is presented by Chang Gongqing (张恭庆) in reference [1], we prove the following homogeneous Dirichlet problem:

关键词： ID 一夕一几一刁

COMPREHENSIVE CONSIDERATION OF THE NEW PERIODIC SOLUTION OF THE NONLINEAR SCHRDINGER EQUATION

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Acta math.matica Scientia 1987年第4期7卷 375-381页

作者：汪存启,李翊神 dept. of math. Wuhan University Wuhan China dept. of math. Chinese University of science and Technology Hefei China

For the nonlinear schrodinger equation it_t+uxx+2|u|u=0, the writer once obtained a new periodic solution （x, t）. In this paper, we will discuss some properties of （x, t）, get all the main spectrum and the auxiliary spectrum of （x, t）, and analyse motion forms of the spectra. We will also prove that （x, t） is an one-band potential.

关键词： root Th 一么 DINGER EQUATION COMPREHENSIVE CONSIDERATION OF THE NEW PERIODIC SOLUTION OF THE NONLINEAR SCHR

Periodic boundary value problem for the first order functional differential equations with impulses

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Applied math.matics(A Journal of Chinese Universities) 2009年第1期24卷 27-35页

作者： LIANG Rui-xi SHEN Jian-hua dept. of math. Hunan Normal Univ. Hunan 410081 China dept. of math. Huaihua College Hunan 418008 China

This paper is concerned with the existence and approximation of solutions for a class of first order impulsive functional differential equations with periodic boundary value conditions. A new comparison result is pres... 详细信息

关键词： functional differential equation periodic boundary value problem lower and upper solution monotone iterative method