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- qusilinear elliptic equation 拟线性椭圆方程
- 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。
- 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。
- 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。
- 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。
- The nonexistence of global weak solution to elliptic equation and the evolution equation, together with the nonexistence of local weak solution to hyperbolic equation is contained in this paper. 本文运用试验函数法研究了带有非局部源的偏微分方程的全局弱解的不存在性，内容包括椭圆方程、发展方程全局解的不存在性以及双曲型方程的局部弱解的不存在性。
- The nonlinear for singularly perturbed problems of elliptic equations with boundary perturbation are considered. 摘要研究具有边界摄动的非线性椭圆型方程奇摄动问题。
- A class of nonlinear singularly perturbed problems for elliptic equations are considered. 摘要研究了一类非线性椭圆型方程奇摄动问题。
- In particular, we solved or partially solved two open problems in semilinear elliptic equations. 特别地，解决和部分解决了半线性椭圆方程中的2个公开问题。
- Min Yang, A second-order finite volume element method on quadrilateral meshes for elliptic equations, ESAIM: M2AN, Accepted. 杨?F;袁益让;半正定两相驱动问题的多步有限体积方法及其理论分析;系统科学与数学;2006;26(5).
- Existence of solutions for a class of semilinear elliptic equations is obtained by the minimax methods incritical point theory. 通过临界点理论中的极小极大方法得到了一个关于一类半线性椭圆方程解存在性的结果.
