nontrivial element是什么意思

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用法例句

We obtained that for every λ>0 in the minimum problems Iλ and I∞λ,there exists α∈0,λ,such that both problems Iα and I∞α have nontrivial solutions.

讨论了一类拟线性椭圆型方程的CHOQUARD-PEKAR问题在无界区域中的非平凡解的存在性,对于极小问题Iλ和I∞λ,得到了对于每个λ>0,存在α∈(0,λ],使得Iα和I∞α可以达到。

In this paper, a concentration-compactness lemma for the problem of quasilinear elliptic equations is given, and the existence of nontrivial solutions is discussed by use of this lemma.

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。

With the mountain pass lemma and the means of straightening the boundary,the existence of nontrivial solutions are obtained by verifing the functional J(u) corresponding to the equations satisfy the local(PS) conditions.

研究了一类含Sobolev-Hardy临界指数与Hardy项的椭圆方程,通过验证方程对应的泛函J(u)满足局部(PS)条件,运用山路引理与拉直边界的方法得到了这类方程非平凡解的存在性。

Existence of nontrivial solution for an elliptic equation;

一类椭圆型方程的非平凡解的存在性

Existence of nontrivial solutions for the p-Laplacian Problem on unbounded domain;

无界区域上p-Laplace问题的非平凡解的存在性

On the nontrivial solutions and dead core problem for the equation Δu=c︱Du(X)︱~(p-1);

关于方程Δu=c︱Du︱~(p-1)的非平凡解及死核问题

The relationship between the existence of the non-trivial solutions and the length of normal materials for the one-dimensional Ginzburg-Landau models of superconductivity with S-N-S junctions;

一维含杂质Ginzburg-Landau超导模型非平凡解的存在性与杂质厚度之间的关系

In this paper, we discuss one kind of nonlinear Volterra integral equation with the convolution kernel, and give some results on the uniqueness and approximate method of the non-trivial solutions of this equation.

本文对一类具有卷积核的非线性Ｖｏｌｔｅｒｒａ型积分方程进行了讨论，给出了关于这类方程的非平凡解的存在性和解的逼近方法的一些结果。

The non-trivial solutions of equation λ_1x_1~k+λ_2x_2~k+…+λ_nx_k~n=0 are discussed, and the upper bound of the non-trivial solutions, when k≥6, is given here.

研究了方程λ_1x_1~k+λ_2x_2~k+……+λ_nx_n~k=0的非平凡解,得出了当k≥6时此。

The enumeration problem for connective graphs with one nontrivial block was discussed by the theory of combinatorics,and the new conclusion is also given.

利用组合理论和图的计数理论,讨论了只含有一个非平凡块的连通图的计数问题,给出了新的结论。

Existence of Nontrivial Solutions of Third-order Singular Boundary Value Problems

三阶奇异边值问题非平凡解的存在性

Nontrivial solution and dead core problem of nonlinear ordinary differential equations

一类非线性常微分方程非平凡解及其死核问题

Nontrivial Solutions of Multi-point Boundary Value Problems for Nonlinear Ordinary Differential Equations;

非线性常微分方程多点边值问题的非平凡解

The Existence of Nontrivial Solutions to Nonlinear Elliptic Equation of p-q-Laplacian Type on R~N;

R~N上p&q-Laplace型椭圆方程的非平凡解的存在性

The Existence of Nontrivial Solutions for a Class of P-harmonic Elliptic Equations;

一类P-重调和椭圆方程非平凡解的存在性

Existence of Nontrivial Solutions for a Class of Biharmonic Equations in R～N;

R～N上一类重调和方程非平凡解的存在性

Existence of a Non-Trivial Solution in p-Laplace Poblems and p-Bihamonic Poblems with Critical Growth;

临界增长的p-Laplace和p-双调和方程的非平凡解

Non-trivial Solutions for Elliptic Equation with Arbitrary Eigenvalue;

涉及任意特征值的椭圆方程非平凡解的存在性

Existence of nontrivial solutions for the p-Laplacian Problem on unbounded domain;

无界区域上p-Laplace问题的非平凡解的存在性

Existence of Nontrivial Solution for Singular Biharmonic Equation Involving Critical Exponents

含临界指数奇异双调和方程非平凡解的存在性

Existence of Nontrivial Solutions of an Ellipsic Equation with Hardy Potential

一类含Hardy位势的椭圆方程非平凡解的存在性

THE NON-EXISTENCE OF NON-TRIVIAL SOLUTIONS OF A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS

一类半线性椭圆方程组非平凡解的不存在性

Nontrival and Multiple Solutions for Semilinear Elliptic Equations in Unbounded Domain;

无界域上半线性椭圆方程非平凡解与多解的存在性

On Nontrivial Solution and Dead Core Problem of a Class of Reaction Diffusion Equations

关于一类反应扩散方程的非平凡解及其死核问题

Existence and Nonexistence of Nontrivial Solutions for a Class of Critical Growth Polyharmonic Elliptic Systems;

一类含临界增长的多重调和方程组的非平凡解的存在性

EXISTENCE AND NONEXISTENCE OF NONTRIVIAL SOLUTIONS FOR A CLASS OF CRITICAL GROWTH POLYHARMONIC ELLIPTIC SYSTEMS

一类含临界增长的多重调和方程组非平凡解的存在性

Existence of Nontrivial Solutions for Biharmonic Equation with Critical Exponent in R~N

R~N上具有临界指标的重调和方程非平凡解的存在性

Periodic and Subharmonic Solution of a Class of Hamiltonian Systems and Nontrivail Solutions of Elliptic Boundary Value Problems;

一类Hamilton系统的次调和解与周期解和椭圆型边值问题的非平凡解的存在性