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- asymptotically linear elliptic equations 渐近线性椭圆方程
- linear elliptic equation 线性椭圆型方程
- Abstract: In this paper, we prove existence of positive entire solutions of a class quasi linear elliptic systems. 文摘:本文讨论了一类满足初值条件的非线性椭圆型方程组正整体解的存在性.
- In this paper, we prove existence of positive entire solutions of a class quasi linear elliptic systems. 本文讨论了一类满足初值条件的非线性椭圆型方程组正整体解的存在性.
- A class of boundary value problem for elliptic equation with two parameters is considered. 摘要讨论了一类具有双参数的椭圆型方程边值问题。
- The singularly perturbed elliptic equation boundary value problem with turning point is considered. 本文讨论了具有转向点的奇摄动椭圆型方程边值问题。
- In chapter two, we prove the existence of nontrivial solutions for the elliptic equation of high order. 在第二章中，我们讨论了一类高阶椭圆方程，并且证明了多解的存在性问题。
- A Lagrange multiplier based fictitious domain method for the Dirichlet problem of a class of linear elliptic operators is discussed. 本文首先讨论了一类椭圆型算子Dirichlet问题的基于Lagrange乘子的虚拟区域方法。
- Combined methods have received a lot of attention on the study of the boundary value problems of elliptic equation with singularities domain. 组合的方法已经以奇异领域受到在椭圆形的相等的边界价值问题的研究方面的许多注意。
- Second, the analyticity of solution to a class of degenerate elliptic equation is obtained. and some application in a geometric problem is presented. 然后将其应用到一个几何问题中。
- Stability of solution of a class quasilinear elliptic equation, Acta Mathematictae Sinica, English Series. Vol. 18, No.3 (2002) 461-470. 无界域上一类椭圆方程无穷多解的存在性，数学学报，2002年第4期。
- This papar deals with the problem of solution's existence about elliptic equation under limiting exponents and free boundary problem by variational evaluation methods. 本文是采用变分估计方法考虑一类椭圆方程在临界指数和自由边界条件下解的存在性问题。
- The book is a continuation of development of" Boundary value problems for nonlinear elliptic equations and systems" and "Linear and quasilinear equations of hyperbolic and mixed types ". 手工劳动是儿童日常教育中不可缺少的训练活动，它对锻炼儿童手指的灵活性及手脑活动的协调有很大帮助，还可以在做手工的同时培养孩子认真、细心、热爱劳动的优秀品质。
- Existence and uniqueness are proved by Lax-Milgram theorem for a type of degenerate divergence elliptic equation in a type of Sobolev spaces with weight, and also the regularity will be studied. 先用Lax-Milgram定理证明一类退化散度型椭圆型方程在带权Sobolev空间中弱解的存在唯一性,然后证明解的正则性。
- In this paper we consider the existence of positive solutions and multiple solutions (possible not positive) of the semilinear elliptic equation with convex and concave nonlinearities, and critical Sobolev exponent. 本文考虑具有凹凸非线性和临界Sobolev指数的半线性椭圆方程的正解和多重解(可能非正)的存在性。
- linear elliptic system of second order 二阶线性椭圆组
- A comparison principle for nonlinear degenerate elliptic equation is derived, and a existence theorem of the coupled weak quasi-solutions of BVP for nonlinear degenerate elliptic systems is given. 建立非线往退缩椭圆型方程的比较原理并给出方程组边值问题耦合弱拟解的存在性定理。
- Methods Nonlinear dynamical behavior of both parabolic equation and elliptic equation were investigated by several tools such as Poincare section, Lyapunov exponent, and correlation dimension. 方法利用庞加莱截面、李雅普诺夫指数、关联维等工具分别对抛物方程和椭圆方程的非线性动力学行为进行描述。
- Particularly, a third elliptic equation for the amplitude of NLS equation is obtained after using a special variable transformation, and two classes of new exact solutions are got again. 在求解过程中巧妙地引入一个变量代换后，又将非线性薛定谔方程化成了关于其振幅的第三种椭圆方程，从而又得到了该方程的2组新的精确解。
- In chapter 1, the existence of positive radial singular rupture solutions of the quasilinear elliptic equation in a finite ball is obtained via the Pohozaev identity and some comparison arguments. 在第二章中考虑了带非局部反应项的扩散方程非负解的局部 存在性以及解在有限时间爆破，考察了解的边界行为。
