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- THE UNIQUENESS OF K-NODE SOLUTIONS FOR SOME SEMILINEAR ELLIPTIC PROBLEMS 一类半线性椭圆边值问题k-波节解的唯一性
- Semilinear elliptic problems 半线性椭圆问题
- 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。
- We consider a singularly perturbed boundary value problem for higher order semilinear elliptic equation.Using the comparison theorem, the uniform validity of the asymptotic solution is proved. 本文研究了一类高阶半线性椭圆型方程奇摄动边值问题。利用比较定理,证明了渐近解的致有效性。
- Abstract: We consider a singularly perturbed boundary value problem for higher order semilinear elliptic equation.Using the comparison theorem,the uniform validity of the asymptotic solution is proved. 文摘:本文研究了一类高阶半线性椭圆型方程奇摄动边值问题.;利用比较定理,证明了渐近解的致有效性
- 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.
- In this paper, we mainly give an application for certain second order semilinear elliptic PDE making use of deformation technique. 文中主要应用形变技术给出了一类半线性椭圆方程的解的凸性的证明。
- The study in all chapters make it clear that the moving spheres method based on the new transformation is applicable in the study on semilinear elliptic equations or systems. 各章的研究表明,基于新的变换函数的移动球面方法适用于半线性椭圆方程和半线性椭圆方程组。
- There are many results about the maximum principles for second elliptic problems. 关于二阶椭圆型方程的极值原理,已经有许多结果。
- 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。
- Focused on a posteriori error estimates for a finite volume discretization of an elliptic problem. 给出了二阶椭圆型方程的非协调有限体积法的后验误差估计。
- In the second chapter, we present an additive Schwarz preconditioner for the rotated Q1 finite element discretization of second order elliptic problem. 我们在第二章中构造了求解用旋转Q1有限元离散椭圆型偏微分方程的区域分解方法。
- Our methods also work for elliptic problems with superlinear or sublinear superlinear nonlinearities etc, which extended widely the applications of the Mountain Pass Theorem. 同时,这一方法也适用于超线性、混合非线性等情形,大大扩展了山路引理的应用范围。
- In this paper, a domain decomposition method is presented for the rotated Q1 finite element discretion of second order elliptic problem. 摘要文章构造了一种用旋转Q1有限元离散椭圆型偏微分方程的区域分解方法。
- The approximation of the rotated Q1-element to a class of second order elliptic problems is studied and the superconvergence result is obtained on anisotropic meshes. 摘要研究了在各向异性网格下具有约束条件的旋转Q1元对二阶椭圆问题的有限元逼近并给出了其超收敛性分析。
- The Dirichlet Problem for a Degenerate Semilinear Elliptic Equation 退化半线性椭圆型方程的Dirichlet问题
- noncoercive semilinear elliptic systems 非强制半线性椭圆系统
- In this paper,the existence of the nontrivial solution to a class of quasi-linear elliptic problem is investigated based on the Hardy inequality and the Mountain Pass Geometry. 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。
- singular semilinear elliptic equation 奇异半线性椭圆方程
- The cascadic multigrid method for the second order elliptic problem is considered, which is discretized by P1 nonconforming element, or Carey element, or Wilson element, is accurate and has the optimal complexity. 证明了两阶椭圆边值问题的cascadic多重网格方法 ;对于P1非协调元、Carey非协调元、Wilson非协调元均可以达到最优 .