拟线性方程

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。

ABSTRACT In this thesis, using the methods of ODE and calculus of variations, we prove the existence of radial and non-radial solutions of some classes of quasilinear elliptic equations.

本文主要是用ODE方法和极小变分方法证明拟线性椭圆型方程径向解和非径向解的存在性，用先验估计方法证明拟线性抛物型方程整体解的不存在性，得到了一些关于拟线性方程的新结果。

The linear equation formulated on the basis of fitting of such relationships can be used to predict the lode depth.

利用根据这种关系拟合成的线性方程可预测矿脉的深度。

After calculating the CT numbers of the different log tomography images,this paper set the CT window width and window level during log testing.

使用计算机断层扫描技术进行原木无损检测，通过对原木树种断层 CT 值的统计，对 CT 设备在检测过程中的窗宽与窗位进行了设定，同时拟合出了木材 CT 值一密度值的线性方程，为原木缺陷的无损检测及木材密度的测定提供一种新方法。

The results showed that the preparation of standard solutions, the fitted linear regression equation for the calibration curve and the volume of sample solution were the main sources of uncertainties.

结果表明：标准溶液的配制、标准曲线拟合线性方程及样品溶液的定容是不确定度的主要来源。

In this paper, a concentration-compactness lemma for the problem of quasilinear elliptic equations is given, and the existence of nontrivial solutions is discussed by use of this lemma.

给出了相应的拟线性方程的定解问题的集中列紧引理，利用这一结果得到了方程在无界区域中非平凡解的存在性。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新