Finaly, in the case of the nonlinearities being singular at 0, by utilizing the mountain-pass theorem and some other variational methods, we get the existence of nontrivial solutions of the equations under the Dirichlet boundary condition, where the operator diva(x,u is the p-Laplacian.

最后中文一级免费视频，我們通過(guò)應(yīng)用山路引理等變分方法美女一级，研究當(dāng)算子diva(xwww.riav7，▽u為p-Laplacian并且非線性項(xiàng)在原點(diǎn)有奇異性時(shí)狼友网免费卡，方程在Dirichlet邊值條件下非平凡解的存在性。

What differ from that of the researchers in the past is the consideration of the direction of Hopf bifurcation with Dirichlet boundary condition , that is, the conditions when the Hopf bifurcation periodic solutions are orbitally asymptotically stable with asymptotic phase.Our basic idea come from the results given by Tang[30]. We adopt the method used by Hassard in the Hopf bifurcation theorem in [24], which is to judge the existence and the direction of Hopf bifurcation, and the stability of the Hopf bifurcation periodic solutions.

與以前的研究者不同的是欧美黄色网站在线看，本文不僅討論了在Dirichlet邊界條件下系統(tǒng)的Hopf分支在以擴(kuò)散系數(shù)為分支參數(shù)的情況下的存在性和分支周期解的空間非齊次性日韩美女观看成人网站在线观看视频，而且更多的關(guān)注了系統(tǒng)在Dirichlet邊界條件下Hopf分支解的穩(wěn)定性及Hopf分支的方向，也即系統(tǒng)定態(tài)解在何種條件下你懂得视频网站，當(dāng)分支參數(shù)如何變化時(shí)產(chǎn)生Hopf分支且分支周期解是帶漸近位相軌道漸近穩(wěn)定的久久国产免费一区二区三区。

The M Q algorithm has been applied to the second order elliptic problems with the Dirichlet boundary conditions,and the so called R condition is involved in the convergence theorem and the optimal relaxation parameter.

M-Q算法所考慮的是二階橢圓型Dirichlet邊值問(wèn)題，此時(shí)有所謂的R條件成立一级一级a爱片免费免免，算法的收斂定理以及松弛因子的選取都需要該條件欧美黄片1区,2区,3区。

In Chapter 1, we use the upper and lower solutions method, the bootstrap technique and the Schauder fixed point theorem to investigate the existence of periodic solutions and the asymptotic behavior of general time-dependent solutions for periodic reaction-diffusion systems of the following three types:(1) Quasimonotone nondecreasing system;(2) Mixed quasimonotone system;(3) A nonquasimonotone 2-system. The boundary conditions are assumed to be either the Dirichlet condition or linear Robin conditions.

在第一章，我們應(yīng)用上欧美日韩成年人色免费看片、下解方法一级黄色在线免费看，bootstrap技巧和Schauder不動(dòng)點(diǎn)定理考察如下三類周期反應(yīng)擴(kuò)散方程組的周期穩(wěn)態(tài)解的存在性和一般的時(shí)變解的漸近性態(tài)：（1）擬單增系統(tǒng)；（2）混擬單調(diào)系統(tǒng)特级欧美AAAAAA视；（3）一個(gè)非擬單調(diào)2-系統(tǒng)av中文在线一级片，其邊界條件是Dirichlet條件或線性Robin條件精品一级黄色视频国产片一区。

harmonic function ; Liouville theorem ; Dirichlet integral ; relative compact domain

并得到 次調(diào)和函數(shù)的Liouville定理和具有有限的 Dirichlet積分的次調(diào)和函數(shù)的性質(zhì)欧美激情亚洲日韩专区。

The theoretical solution of a concentrated force acting on the free surface of coating materials with two same thickness layers has been deduced by introducing mirror point method and Dirichlet uniqueness theorem.

利用鏡像點(diǎn)法和Dirichlet等值性原理，本文推導(dǎo)了等厚雙層薄膜涂層材料受表面集中力作用的平面問(wèn)題理論解一区二区视频在线导航。

ChinaWang Yonghuidirected by Zhang ~Venpeng The main purpose of thesis is using the mean value theorem of the Dirichlet Lunctions to study the asymptotic property of the Dedekind sums and Hardy sums, and give two sharper asymptotic formulas.

關(guān)于Dedekind和的推廣型均值公式及Hardy和的推廣型均值公式本論文利用Dirichlet L-函數(shù)的均值定理研究了Dedekind和及Hardy和的一類均值估計(jì)問(wèn)題成人精品视频在线日韩免费观看网站，并給出了較為精確的漸近公式66在线视频免费。

In this paper,we consider the existence and uniquness of solution for Dirichlet problem of the Helmholtz equation on the domain with corners, i.e problemFor smooth boundary,we use potential theory to transform the problem into second kind boundary integral equation ,and use Fredholm alternative theorem,we obtain the existence and uniqueness of Dirichlet problem.

在本文中，我們考慮邊界含尖點(diǎn)的有界區(qū)域上Helmholtz方程△u+k~2u=0的Dirichlet問(wèn)題即問(wèn)題與問(wèn)題解的存在及唯一性六六色色。

The existence of the radially classical solutions with Dirichlet boundary value in unit ball was investigated. Based on perturbation technique, topological method and comparability theorem, the existence of the radially symmetric solutions for the generalized mean curvature equations with proper presupposition was established.

在單位球內(nèi)考慮廣義平均曲率方程組具有Dirichlet邊值條件的徑向古典解国产麻豆福利，運(yùn)用攝動(dòng)技巧、拓?fù)浞椒氨容^原理亚洲精品色色色，在一個(gè)適當(dāng)?shù)臈l件下在线看片aa黄色视频，證明了廣義平均曲率方程組徑向?qū)ΨQ解的存在性。

The contents of this paper are as follows:Firstly, we study the following semilinear elliptic equation with Dirichlet boundaryvalue problem:in the subcritical growth case we obtain at least two nontrival solutions by using the three-critical-point theorem and the reduction method.

我們首先研究下面半線性橢圓方程Dirichlet邊值問(wèn)題：在次臨界增長(zhǎng)情況下无码不卡乱人伦中文视频，利用變分方法中的歸約方法和三臨界點(diǎn)定理特黄A级毛片免费网站，得到了方程至少有兩個(gè)非平凡解。