1) one-dimensional p-Laplacian operator
一维p-Laplacian算子
1.
When f is satisfied with certain increasing condition,the three-point boundary value problem of one-dimensional p-Laplacian operator was discussed in this paper and a sufficient condition for the existence of nontrivial solution was obtained.
在f满足某种增长条件下,讨论了一维p-Laplacian算子边值问题,得出非平凡解存在的一个充分条件。
2) p-Laplacian operator
p-Laplacian算子
1.
Existence of solution for nonlinear two-point boundary value problems with one-dimensional p-Laplacian operator;
含有一维p-Laplacian算子的非线性两点边值问题的可解性
2.
Existence of three positive solutions in a multi-points boundary value problem of p-Laplacian operator with first-order derivative;
含导数项的p-Laplacian算子多点边值问题三个正解的存在性
3.
The existence of multiple positive solutions for higher order boundary value systems with p-Laplacian operator;
高阶p-Laplacian算子方程组边值问题多个正解的存在性
3) p-Laplacian
p-Laplacian算子
1.
The existence of positive solution for a multi-point boundary value problem with p-Laplacian;
一类具有p-Laplacian算子的多点边值问题正解的存在性
2.
Existence of Solution for m-point Boundary Value Problems at Resonance with p-Laplacian Operator;
具有p-Laplacian算子共振边值问题解的存在性
3.
The Existence of Countably Many Positive Solutions for One-Dimensional p-Laplacian Operator;
一维p-Laplacian算子型奇异边值问题可数多正解的存在性
4) p-Laplacian operator
p-Laplacian型算子
6) fourth-order p-Laplacian operator
四阶p-Laplacian算子
补充资料:凹算子与凸算子
凹算子与凸算子
concave and convex operators
凹算子与凸算子「阴~皿d阴vex.耳阳.勿韶;.留叮.肠疽“‘.小啊j阅雌口叹甲司 半序空间中的非线性算子,类似于一个实变量的凹函数与凸函数. 一个Banach空间中的在某个锥K上是正的非线性算子A,称为凹的(concave)(更确切地,在K上u。凹的),如果 l)对任何的非零元x任K,下面的不等式成立: a(x)u。(Ax续斑x)u。,这里u。是K的某个固定的非零元,以x)与口(x)是正的纯量函数; 2)对每个使得 at(x)u。续x《月1(x)u。,al,月l>0,成立的x‘K,下面的关系成立二 A(tx))(l+,(x,t))tA(x),0
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