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The contents are the following:In chapter two, the existence and multiplicity results for the following equation of p-Laplacian type are obtained.For the elliptic quasilinear hemivariational inequality involving the p-Laplacian operator,in order to use the mountain pass theorem proving the existence result, the authors usually need to use the uniform convexity of the Sobolev space to prove the energy function satisfies the PS condition. But for the p-Laplacian type equation mentioned above, this method is no use. To overcome this difficulty, the potential function is assumed to be convex, then I prove the existence result and by using the extension of the Ricceri theorem, the multiplicity result for the problem is obtained.

在第二章我们首先考虑关于以下p-Laplacian型(p-Laplacian type)方程非平凡解及多解的存在性对于带有p-Laplacian算子的椭圆拟线性半边分不等式问题,为应用非光滑的山路引理证明解的存在性,在证明方程所对应的能量泛函满足非光滑的PS条件时,需利用Sobolev空间的一致凸性,但是对于具有更一般形式的算子的p-Laplacian型方程,不具备上述性质,在文中为克服这一困难,本人对位势泛函做了一致凸的假设,从而证明了解的存在性,并应用推广的Ricceri定理,证明了方程三个解的存在性。

Perhaps you are president who keeps aloof, perhaps is disdains by under the step which as soon as the human raises imprisoning, perhaps is thousands of nameless inactivity extraordinariness, but in each person's parents' eye all is the most lovable child, does not divide the north and south, regardless of the ancient and modern, the parents really love is eternal, through ancient times invariable.

或许你是高高在上的总统,或许是不屑被人一提的阶下之囚,或许是千万个无名无为的平凡者,但在每个人的父母的眼中都是最可爱的孩子,不分南北,无论古今,父母真挚爱是永恒的,亘古不变。

These contemporary observations and descriptions present Tubman at once in her ordinariness and her extraordinariness, render her as both real and impossibly heroic, and offer us the best opportunity to begin to understand how and why Harriet Tubman ''rocked the world.

这些当代的评论和描述同时呈现了塔布曼的平凡和不凡,使她显得既真实又难以置信地英雄化,并为我们提供了最好的机会,让我们开始了解哈丽雅特·塔布曼是怎样去"震撼世界"的,以及她为何会"震撼世界"。

This is "an extraordinary world."

这就是《平凡的世界》。

His concept of the dance was utterly 20th century, extravagantly multi-dimensional, and not in the least middle class.

他对于舞蹈的概念是完全是20世纪的,奢华的多维度,而且绝对超越平凡

They were the greatest possible eyesore , and they had no right to be in that neighbourhood at all.

范博文觉得什么都是不顺眼的,都是平凡恶俗。他简直有点生气了。

Ezra was very careful to show that the occasion was a great one because of God's work.

以斯拉很小心做神的工作,因为这是不平凡的工作。

There was no factoid too minute or political movement too mundane to leave out.

没有factoid太分钟或政治运动过于平凡的离开了。

This out in the meadow this fair maid did go

这些已不在这个草甸,平凡的女仆确实离开了。

They thought that pictures were an absolutely faithful representation of the reality and "cameras can't lie". However, in the 1980s, people started to see pictures of "trivial subjects with no value or significance", which depicted daily people and common scenes.

然而,到了80年代,人们看到了一些观看起来很"毫无拍摄价值和意义"的照片,照片里出现了一些日常生活中随处可见的普通人和场景,面对这些照片里的平凡,人们疑虑了。

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I didn't watch TV last night, because it .

昨晚我没有看电视,因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来,在北京的很多小区里,电梯液晶电视被撤了下来。

I'm running my simile to an extreme.

我比喻得过头了。