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Laplacian pyramid based Laurent polynomial (LP2) matrices are generated by Laurent polynomial column vectors and have long been studied in connection with Laplacian pyramidal algorithms in Signal Proc...
讨论一类带有p-Laplacian算子非线性分数阶微分方程耦合系统边值问题解的存在性,给出解的存在性条件,利用不动点定理进行讨论.
We develop a nonlinear spectral graph theory, in which the Laplace
operator is replaced by the 1 Laplacian ∆1
. The eigenvalue problem is to
solve a nonlinear system, involving a set valued f...
Minimizing Laplacian spectral radius of unicyclic graphs with fixed girth
Laplacian matrix Laplacian spectral radius girth unicyclic graph
2011/1/18
In this paper we consider the following problem: Over the class of all simple con-nected unicyclic graphs on n vertices with girth g (n, g being fixed), which graph minimizes the Laplacian spectral ra...
A Berezin-Li-Yau type inequality for the fractional Laplacian on a bounded domain
Berezin-Li-Yau type inequality fractional Laplacian bounded domain
2010/12/9
A Berezin-Li-Yau type inequality for (−) /2|, the fractional Laplacian op-erators restriced to a bounded domain ⊂ Rd for ∈ (0, 2], d ≥ 2, has not been known so far. First we positivel...
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...