平凡的

At last, in Section 3, we calculate the Pohozaev identity for p-harmonic equation under Navier or Dirichlet boundary condition from which we obtain the corresponding nonexistence of nontrivial solutions for p-harmonic equations with critical growth.

最后在第三节中，我们分别对带Navier边值条件和Dirichlet边值条件的p-调和方程的Pohozaev恒等式作了演算，并利用这些恒等式得到了相应的p-调和方程临界增长问题的非平凡解的非存在性结果。

Sticks, shadows, reflections in wells, the position of the Sun of what possible importance could such simple matters be But Eratosthenes was a scientist, and his musings on these commonplaces changed the world; in a way, they made the world.

棍棒，影子，井中的倒影，太阳的位置；这每日都在眼前出现的事物，有可能传递什麼重要的讯息呢但Eratosthenes是个科学家，他在平凡事务上的沉思改变了这个世界；或者可说，他的沉思造就了这个世界。

Firstly, by constructing the Lyapunov function with a special structure, a prior estimate is obtained. Secondly, with the help of Green\'s function, the original problem is transformed into an equivalent operator equation, and the fixed point theory of contraction mapping in a Banach space guarantees the existence and uniqueness of the global solution.

首先，构造具有特殊结构的Lyapunov函数，得到解的先验估计；其次，借助Green函数将原方程等价变换成算子方程，Banach压缩映射的不动点定理保证了全局解的存在唯一性；最后通过常微分方程的定解，证明了主要结论，即平凡解全局渐近稳定。

As Jane Eyre, in her plainness and solitude, walks to and fro in the Thornfield Hall, her unfortunate childhood, conflicting love, and religious forbiddance all cannot stop her seeking a better life and cherishing the human nature.

当她的平凡和孑然的珍妮？巡回，在Thornfield霍尔来回走，她不幸的童年、矛盾的爱和宗教forbiddance全部不可能停止寻找更好的生活和珍惜人类本性的她。

3We obtain the analytical price formulas for vanilla, forward-start and in-progress fixed-strike and floating-strike continuous geometric average Asian options and a put-call parity under generalized Black-Scholes with time-dependent parameters by risk neutral valuation and properties of stochastic integration.

在依赖时间参数的推广的Black-Scholes模型下，利用风险中性定价及随机积分的性质，得到平凡、远期开始和进展中的固定和浮动执行价格的连续几何平均欧式亚洲期权价格的解析公式和一个平价关系。

Based on a chosen normalized boundary equation, a new normalized boundary equation can be established such that the irregularity of the kernel of integral equations is overcame. Finally, natural frequency is obtained by the existence condition of nontrivial solution of the discrete algebraic equations derived from the integral equations.

边界方程有多种选择，在选定一种边界方程的基础上，可以通过建立一个新的边界方程来表示问题的边界，以克服积分核的奇异性；最后由积分方程的离散化方程组有非平凡解的条件，求得固有频率。

In this paper,based on the discussion on isomorphisms,the Verma modules of Svir are studied,and the irreducibility of these modules are obtained.

对域 F 的加法子群 M以及α∈F，且 2α∈M ，苏育才及赵开明定义了 2类广义Virasoro超代数，它们分别被记成SVir和SVir，后者是前者的平凡扩张。基于对同构的讨论，研究了SVir的Verma模，并且得到了这些模的不可约性

The thrust of the narrative, aided with illustrations including Mr Thompson's pleasant photographs, hangs on a series of introductory and diverting potted histories of the Lake poets, writers, artists, climbers and charlatans who gave a remarkable profile to this relatively low-lying group of mountains in England's north-west.

通过清冽的文字、赏心悦目的照片和插图，汤普森给我们展现了一系列关于湖区诗人、作者、艺术家、登山者和吹牛的人们的历史故事，这些人的事迹使这片位于英格兰西北部的低山区显得那么不平凡。

Always exclaim the skill of Great artists, the different for common and outstanding artist is, I think, the angle and the manner difference for look-in the world.

大师们可以以那样的笔触那样的色彩那样的构图把我们平时司空见惯的平凡事务呈现的那样的不同凡响。

It can be divided into two chapters.In chapter one ,we state a few usual notations,definitions and basic results.In chapter two, we first establish a Morse index theory for 2p-order linear Hamiltonian systems.Then as applications of the index theory ,we discuss nontrivial solutions for nonlinear Hamiltonian systems by making use of Leray-Schauder degree theory and Morse theory.

全文分为两章：第一章中给出了本文所要用到的一些基础知识和一些常用的记号；第二章先建立了线性2p-阶Hamiltonian系统的指标；作为此分类指标的应用，结合Leray-Schauder度理论及Morse 理论，讨论了渐近线性系统的非平凡解的存在性。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。