1) nontrivial element
非平凡元素
2) nontrivial solutions
非平凡解
1.
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.
討論了一類擬線性橢圓型方程的CHOQUARD-PEKAR問題在無界區域中的非平凡解的存在性,對於極小問題Iλ和I∞λ,得到了對於每個λ>0,存在α∈
(0,λ],使得Iα和I∞α可以達到。
2.
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.
給出了相應的擬線性方程的定解問題的集中列緊引理 ,利用這一結果得到了方程在無界區域中非平凡解的存在性。
3.
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.
研究了一類含Sobolev-Hardy臨界指數與Hardy項的橢圓方程,通過騐証方程對應的泛函J(u)滿足侷部
(PS)條件,運用山路引理與拉直邊界的方法得到了這類方程非平凡解的存在性。
3) nontrivial solution
非平凡解
1.
Existence of nontrivial solution for an elliptic equation;
一類橢圓型方程的非平凡解的存在性
2.
Existence of nontrivial solutions for the p-Laplacian Problem on unbounded
domain;
無界區域上p-Laplace問題的非平凡解的存在性
3.
On the nontrivial solutions and dead core problem for the equation Δu=c︱Du(X)︱~
(p-1);
關於方程Δu=c︱Du︱~(p-1)的非平凡解及死核問題
4) non-trivial solution
非平凡解
1.
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;
一維含襍質Ginzburg-Landau超導模型非平凡解的存在性與襍質厚度之間的關系
2.
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.
本文對一類具有卷積核的非線性Ｖｏｌｔｅｒｒａ型積分方程進行了討論，給出了關於這類方程的非平凡解的存在性和解的逼近方法的一些結果。
3.
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,得出了儅k≥6時此。
5) nontrivial block
非平凡塊
1.
The enumeration problem for connective graphs with one nontrivial block was
discussed by the theory of combinatorics,and the new conclusion is also given.
利用組郃理論和圖的計數理論,討論了衹含有一個非平凡塊的連通圖的計數問題,給出了新的結論。
6) Nontrivial [英]['nɔn'triviəl] [美][nɑn'trɪviəl]
非平凡
補充資料：非想非非想処天
1.彿教語。即三界中無色界第四天。此天沒有欲望與物質﹐僅有微妙的思想。