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利用单调迭代技巧和推广的 Mawhin 定理得到下述带有$p-$Laplacian 算子的多点边值问题迭代解的存在性, $$\left\{\ay\begin{array}{l} ({\it {\it {\it \Phi}}}_{p}(u'))'+f(t,u,Tu)=0,~~~~0\leq{t}\leq{1},\\ u(0)=\d\sum \limits _{i=1}^{q-1}\gamma _...
This paper deals with the multiplicity results of positive solutions of one-dimensional singular p-Laplace equation (jp(u'(t)))'+a(t)f(t,u(t),u'(t))=0, 0linear boundary conditio...
A new technique is proposed for the analysis of shape optimization problems. The technique uses the asymptotic analysis of boundary value problems in singularly perturbed geometrical domains. The asym...
All bipartite graphs whose third largest Laplacian eigenvalue is less than 3 have been characterized by Zhang. In this paper, all connected non-bipartite graphs with third largest Laplacian eigenvalue...
运用分析的方法,建立了具有p-Laplacian算子的二阶奇异半正单调边值问题的非负解的存在性条件。
本文研究了在共振情况下$m$点$p$-Laplacian算子边值问题解的存在性问题.在非线性项$f(t,u,v)$有界的条件下, 根据Mawhin的连续定理和$m$点 $p$-Laplacian算子的边值问题的上下解理论, 得出共振问题解的存在的结论.
1): {-Δ_pu≡-div |▽u|~(p-2)▽u)=f(x,u), x∈Ω, u=0, x∈partial deriv Ω, where Ω is a bounded domain in R~N (N≥1) and f(x, u) is quasi-asymptotically linear with respect to |u|~(p-2) u at infinity. Recently...
The existence of infinitely many solutions to Sturm-Liouville boundary value problem with a Laplacian-like operator is studied by applying generalized polar coordinates.
In this paper,we give the upper bound and lower bound of k-th largest eigenvalue λ_κ of the Laplacian matrix of a graph G in terms of the edge number of G and the number of spanning trees of G.
1,我们建立了该问题至少存在三个正解的充分条件。
By using the perturbation theories on sums of ranges ofnonlinear accretive mappings of Calvert and Gupta, we study theabstract results on the existence of a solution $u \inL^{s}({\it\Omega})$ of nonli...
Let $T$ be a tree with matching number $\mu(T)$. In this paper we obtain thefollowing result: If $T$ has no perfect matchings, then $\mu(T)$ is a lower bound forthe number of nonzero Laplacian eigenva...
利用简单无向图中的特殊顶点集与图的Laplacian谱的关系,得到了有关图的坚韧度与Laplacian 谱的一个有趣的关系式.
Topologicalandbondcriticalpointpropertiesofelectrondensitydistributions,(r),were calculatedforaseriesofsul?demolecules,containing?rst-andsecond-rowmaingroup 2(r),showthatthevalenceshellcharge M-cat...
The purpose of this paper is to obtain the estimate for the average mean value of the remainder term of the asymptotic formula for the quadratic mean value of the Fourier coefficients of the eigenfunc...

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