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Thirdly, we will concentrate on the multiplicity of the positive and minimal sign-changing solutions of the following quasilinear equations with Hardy-Sobolev critical exponent in bounded domain By Lusternik-Schnirelmann category theory, we showthe relation the number of positive solutions with the topology of the domain.

再次研究有界区域上具有Hardy-Sobolev临界指数的拟线性方程的正解与极小变号解的多重性，运用Lusternik-Schnirelmann理论，给出方程正解与区域的拓扑性质的相关性。

The property of bounded space Green's function in the neighbor domain of the singular point is studied.

研究了有界空间格林函数在奇异点邻域内的性质。

Where In is a bounded function.

其中In是一有界函数。

This paper gives a concept of Lebesgue-Stieltjes measure in monotone increasing left continuous bounded function and discuss some properties.

以单调递增左连续有界函数 f 给出了 Lebesgue-Stieltjes测度的概念，进一步讨论了由它产生的若干相应的性

Assume is a decreasing function on with bounded supports.

假设 是在内的递减函数。

Theorem 2 The product of a bounded function and an infinitesimal is an infinitesimal.

定理 2 有界函数与无穷小的乘积是无穷小。

The relation between general one-way function and bounded one way function is given by authors previously.

该文的作者在以前的文章中，对有界单向函数与一般单向函数的关系进行了探讨，从而得到一般单向函数的一个刻画。

In this paper,a proof is made of the equivalence in three definitions of the integral of bounded function in finite set measure.

关于Lebesgue积分，文献有不同的定义，本文给出了测度有限集上有界函数 Lebesgue积分三种不同定义的等价性的一种证明。

It shows that all properties of fuzzy number and fuzzy-valued function which relating to distance can be obtained by this family of standard bounded monotone function.

进而，模糊数空间和模糊值函数空间上的与距离相关的所有性质都可以在一类单调函数类上得到。

Bounded one-way function gives a new insight in the one-way function.

有界单向函数的研究对一般单向函数存在性的研究提供了一个新的途径。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。