双调和

With the help of the Mountain-Pass Theorem lacking Palais-Smale compactness condition (PSc condition and by adoption of the best attained function of Sobolev embedding, the paper proves the existence of nontrivial solutions of two classes of critical biharmonic equations on boundary conditions by overcoming serial difficulties caused by loss of compactness due to Sobolev embedding.

本文借助于没有 PS 条件的翻山引理，并利用 Sobolev 嵌入的最佳达到函数，克服了由于 Sobolev 嵌入失紧性而带来的系列困难，证明了含临界增长的两类双调和方程边值问题非平凡解的存在性。

For fourth order p-biharmonic elliptic equation with Dirichiet boundary conditions, a new Pohozaev type identity is established.

对于具有Dirichlet边界条件的四阶p-双调和椭圆方程，建立了一个新的Pohozaev恒等式。

In Chapter 2,we extend a boundary map with singular points to a harmonic mapbetween real Hyperbolic space and complex Hyperbolic space.

在第二章中我们将带有奇异点的边界映射延拓为从实双曲空间到复双曲空间的调和映射。

We obtained a kind of sufficient condition for 2-harmonic submanifolds becoming minimal submanifolds in hyperbolic space and an integral inequality like Simons integral inequality.

得到了双曲空间中2-调和子流形成为极小子流形的一个充分条件，以及一个Simons型积分不等式。

Therefore, based on naturalization of natural boundary, the dual-harmonic interpolation method is introduced in to solve the problem mentioned above.

引入先进的基于自然边界归化的二维双调和插值方法，使问题迎刃而解。

Global Schauder estimates for the initial-value parabolic problem of the bi-harmonic type were proved.

该文给出了双调和型抛物方程初值问题解的Schauder估计，并且在适当的空间中证明了解的存在性与惟一性。

This section further presents three kinds of computation schemes, which are discretization schemes based on linear interpolation, locally quadratic interpolation and mixed quadratic and cubic interpolation.

吴微在[21]中使用三角剖分及外心对偶剖分给出了解双调和方程的基于Ciarlet-Raviart变分原理的混合广义差分法，理论分析部分采用了[26]中的有关思想。

Herborist balance Cleanser, contains soil Poria, licorice and other herbal extracts, fine bubbles, Chellonese herbal medicine systems unique dual-balanced face wash oily skin sebum and grime, whellole helping to maintain moisture dry area, so that the skin be reconciled , Shuang Jie soft.

佰草集平衡洁面乳，蕴含土茯苓、甘草等草药英华，泡沫细润，中草药独有的双相平衡体系能洗净脸部油性皮肤的皮脂和尘垢，同时帮助干燥部位保持水分，令肌肤调和一致，爽洁柔软。

The bi-harmonic equation of simply supported thin polygonic plates is decomposed into Poisson's equations.

简支多边形薄板双调和定解问题可分解为二个互不耦合的Poison方程的定解问题。

From her French mother, whose parents had fled Haiti in the Revolution of 1791, had come her slanting dark eyes, shadowed by inky lashes, and her black hair; and from her father, a soldier of Napoleon, she had her long straight nose and her square-cut jaw that was softened by the gentle curving of her cheeks.

她母亲是法国人，是一对从1791年革命中逃亡到海地来的夫妇所生，她给爱伦遗传了这双在墨黑睫毛下略略倾斜的黑眼睛和这一头黑发。她父亲是拿破仑军队中的一名士兵，传给她一个长长的、笔直的鼻子和一个有棱有角的方颚，只不过后者在她两颊的柔美曲线的调和下显得不那么惹眼了。

On closer examination, though, this is not a vote for multilateralism but just the opposite.

仔细审视后我们发现，这并非是对多边主义投出的赞成票，而是恰好相反。

Uncovering their weak spots, so I can defeat them.

揭露出他们的弱点，这样我就可以打败他们了。