1) link(dual)theorem
对偶环绕定理
2) linking duality
环绕对偶
3) linking theorem
环绕定理
1.
Rabinowitz s linking theorem in critical point theory,the existence of T-periodic solution to second-order Hamiltonian system under the superquadratic condition was demonstrated.
Rabinowitz的环绕定理证明了二阶Hamilton系统在新的超二次条件下周期解的存在性。
2.
Via Linking Theorem and some estimates about the solutions,we consider a semilinear elliptic problem:-△u-μ/(|x|2)u=k(x)|u|2*-2u+λu,u∈H01(Ω),when k(x) satisfies some conditions,we can prove the existence of a nontrivial solution.
主要应用环绕定理及一些解的估计来讨论一类半线性椭圆方程:-△u-μ/(|x|2)u=k(x)|u|2*-2u+λu,u∈H01(Ω),当k(x)满足一定条件时,方程存在一个非平凡解。
3.
Using the Linking theorem and delicate estimates to study the existence of a nontrivial solution for the following semilinear elliptic equation with singularity at zero:-Δu+k(x)｜x｜2u=｜u｜2*-2u,u∈D1,20(Ω), where k(x) satisfies some conditions and 2*=2N/(N-2)(N≥3).
应用环绕定理以及精确估计来讨论一类在零点有奇性的超线性椭圆方程:-Δu+k(x)x 2u=u 2*-2u,u∈D1,0 2(Ω),其中k(x)满足一定的条件,2*=2N/(N-2)(N≥3),可以得到一个非平凡解的存在性。
4) Local linking
环绕定理
5) link and linking theorem
环绕和环绕定理
6) duality theorem
对偶定理
1.
At the same time,the weak duality theorems and strong duality theorems are proved for the three types of duality respectively based on the(F,α,ρ,θ)-b-convexity.
本文给出了一类新的广义凸函数-(F,α,ρ,θ)-b-凸函数,讨论了多目标分式规划(MFP)的三种对偶模型:Mond-Weir型对偶、Lagrange型对偶、Schaible型对偶,并基于(F,α,ρ,θ)-b-凸性证明了各自相应的弱、强对偶定理。
2.
In this paper, author gives a definition of ((F,ρ), invariant convex function, and discuses the duality theorems of the multiobjective programming.
本文给出了(F,ρ)-不变凸函数的定义,并讨论证明了在此定义下其多目标规划的对偶定理。
3.
Moreover, a parametric duality model and a semiparametric duality model are constructed and appropriate duality theorems are proved.
对该类多目标分式规划问题,引入了(F,α,ρ,d)-V-凸函数的概念,证明了有效解的充分条件和必要条件,构造出了一种参数对偶模型和一种半参数对偶模型,并证明了相应的对偶定理。
补充资料：2-D环绕
[编辑] 连接方式
如图，是一个典型的16节点2-d环绕，它与超立方体连接在拓扑上是等价的。
Image:2d-torus.JPG
[编辑] 参阅
- 并行计算
- 网孔连接
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条