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Convex optimization of graph Laplacian eigenvalues
Graph theory Laplacian matrix Convex optimization Semidefinite pro-gramming Markov chain Distributed averaging Effective resistance
2015/8/10
We consider the problem of choosing the edge weights of an undirected graph so as to maximize or minimize some function of the eigenvalues of the associated Laplacian matrix, subject to some constrain...
带跳跃非线性项的p-Laplacian问题的结点解
Fuč ik谱 结点解 跳跃非线性项
2014/5/5
研究了带跳跃非线性项的p-Laplacian方程结点解的存在性.如果该问题的非线性项跨越其对应齐次问题的Fučik谱,我们证明了该问题至少存在一个结点解.
Exact spectrum of the Laplacian on a domain in the Sierpinski gasket
Sierpinski gasket Laplacian eigenvalues spectral decimation analysis on fractals
2012/6/27
For a certain domain $\Omega$ in the Sierpinski gasket $\mathcal{SG}$ whose boundary is a line segment, a complete description of the eigenvalues of the Laplacian under the Dirichlet and Neumann bound...
Estimates for the resolvent kernel of the Laplacian on p.c.f. self similar fractals and blowups
resolvent kernel Laplacian on p.c.f. self similar fractals blowups
2010/12/14
One of the main features of analysis on post-critically finite self-similar (pcfss) sets is
that it is possible to understand the behavior of the Laplacian and its inverse, the Green
operator, in te...
A further note on the inverse nodal problem and Ambarzumyan problem for the p-Laplacian
p-Laplacian inverse nodal problem Ambarzumyan theorem
2010/11/26
In this note, we extend some results in a previous paper on the inverse nodal problem and Ambarzumyan problem for the p-Laplacian to periodic or anti-periodic boundary conditions, and to L1 potentials...
一类一维p-Laplacian 算子两点边值问题的正解个数
p-Laplacian 算子 两点边值问题 正解
2009/9/21
讨论了一类含有一维p-Laplacian算子的两点边值问题正解的个数.
Global Estimates in Orlicz Spaces for p-Laplacian Systems of in R^N
Orlicz space Global Gradient p-Laplacian system
2015/5/4
Abstract. In this paper we obtain global estimates in Orlicz spaces for weak solutions of p-Laplacian systems in R N for N ≥ 2. Our results improve the known results for such problems.
The Linear Mean Value of the Remainder Term in the Problem of Asymptotic Behavior of Eigenfunctions of the Automorphic Laplacian
Linear Mean Value Automorphic Laplacian Remainder Term
2010/3/5
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...