多重性

This paper is devoted to the existence and multiplicity of the solutions of the homogenous Dirichlet problem for a nonlinear singular elliptic equation with natural growth in the gradient.

研究一类具奇性和退化性的非线性椭圆方程Dirichlet问题，通过构造适当的逼近问题并结合紧致方法，证明了解的存在性和多重性。

For the homoclinics taking on values in the unbounded domain, in order to apply the usual "Mountain Pass " theorem, A compact embedding theorem is proved.

为克服同宿解取值于无界域而缺乏自然紧性，证明了一个紧嵌入定理，从而可以利用通常的山路引理与对称山路引理获得同宿解的存在性与多重性条件。

In the rest of this dissertation, we apply our above abstract results,"global Morse theory"and other critical point theorems to some semilinear resonant elliptic boundary value problems as well as some asymptotically"linear"or super"linear"p-Laplacian equations, and obtain the existence or multiplicity of solutions.

在后半部分，我们运用上面的抽象结果，以及大范围Morse理论和其他临界点理论，研究一些半线性椭圆共振问题的多重解的存在性，以及一些渐近线性或超线性p-Laplacian方程的解的存在性或多重性。

It shows that the main contents of Hertz's thoughts of physics consist of the multiplicity of physics theories and the evaluation standards of permissibility,correctness and appropriateness,and the holistic viewpoints of physics theories.

物理学理论的多重性思想和物理学理论容许性、正确性、恰当性的评价标准以及物理学理论实验检验的整体论观点，构成赫兹物理学思想的主要内容。

Prospero is a "storm" in the undisputed protagonist, his role in the play with multiple identities, is the king, the father, is a magician ......

普洛斯彼罗是《暴风雨》中的无可争议的主角，他的角色在剧中有着多重的身份，是君王、是父亲、是魔法师……这样的多重性的角色塑造了一个复杂的有血有肉的普洛斯彼罗。

In this paper, by using the notable Mountain Pass Lemma of critical point theory, some sufficient conditions for the existence and multiplicity of periodic and subharmonic solutions to a class of second order nonlinear functional difference equations with Jacobi operators are obtained.

论文研究了一类具有Jacobi算子类型的二阶非线性泛函差分方程(1)的周期解和次调和解的存在性与多重性。首先将方程（1）的解的存在性问题转化为某个泛函临界点的存在性问题，然后验证此泛函满足著名的山路引理的条件，从而得到论文的主要结论。

However, the multi- identities of artists have still been doubt by many people, and the forepassed concept of occupation has always blocked to understand the artist's multi-identities. Artists' intervene in socialty often be regarded as unmindful of their own works or doing other occupations. The identity of the artists in the "rebuilding in art "activity is one aspect of the identities' multiple. But The activity itself has answered to the suspicions, that is ,as for the society, it is good or not to have this kind of activity.

不过，这种艺术家身份的多重性仍然受到众多人的怀疑，职业焦虑一直阻碍着对艺术家多重身份的理解，艺术家介入社会以后，往往会认为是不务正业，或者是做了其他职业的人做的事，&以艺术重建家园&的艺术家身份的这种多重化还只是身份多重化的一个侧面，但这个活动已经对这样的置疑作了回应，即，对社会而言，我们有这样的活动好呢还是没有这样的活动好？

Excitation functions of neutron, proton and α particle emission prior to scission measured in the reactions 28 Si+ 164,167,170 Er→ 192,195,198 Pb are studied using an extensive fission diffusion model and it is found that the model can well describe the trend of particle multiplicities of Pb isotopes measured experimentally as a function of the bombarding energy,which indicates the existence of isotope effects in prescission particle emission.

用推广的裂变扩散模型研究了2 8Si+16 4，16 7，170 Er→192 ，195，198Pb反应中测量的断前中子、质子和α粒子多重性的激发函数。发现扩散模型能很好地拟合这些轻粒子多重性随裂变系统激发能和Pb同位素的变化趋势。表明断前粒子发射存在一个同位素效应。进而在一个考虑了裂变过程中摩擦效应的统计模型的框架内，在In和Er这两个元素的同位素链中，考察了同位素效应与裂变碎片质量不对称性和裂变系统尺度的关系。计算结果表明：同位素效应的存在不依赖于裂变系统的大小和不对称性。此外，当裂变系统具有高的中质比时，轻带电粒子发射将不再敏感于裂变延迟时间的长短，而中子发射则非常敏感。

Significantly different scalings of the mean IMF multiplicities with neutron,charged-particle,light charged-particle multiplicities,and Zbound are observed for the two reactions.

观察到两个反应系统中，中等质量碎片多重性、中子多重性、荷电粒子多重性与轻荷电粒子多重性之间的关联存在着明显的差别。

Sighficantly different scalings of the mean IMF multiplicties with neutron, charged-particle, light charged-particle multiplicities, and Z_bound are observed for the two reactions.

观察到两个反应系统中，中等质量碎片多重性、中子多重性、荷电粒子多重性与轻荷电粒子多重性之间的关联存在着明显的差别。

By the time of its fall, most of the prisoners were writers who had written against the corruptions of the government.

到它被攻陷的时候，里面多数的犯人是写了反对政府贪污文章的作家。

The most obvious variation to ovum morphological character was that the color was changed from light green to sepiaceous in embryonic development, and all the ovums were almost hatched after 96h.

在胚胎发育过程中卵的形态特征最明显的变化是颜色从淡绿到深褐色，卵在发育96h后卵基本全部孵化。