Abstract We investigate the following problem $$\begin{aligned} -\mathrm{div}(v(x)|\nabla u|^{m-2}\nabla u)+V(x)|u|^{m-2}u= \left( |x|^{-\theta }*\frac{|u|^{b}}{|x|^{\alpha }}\right) \frac{|u|^{b-2}}{|x|^{\alpha }}u+\lambda |x|^{-\gamma }*\frac{|u|^{c}}{|x|^{\beta \frac{|u|^{c-2}}{|x|^{\beta }}u \quad \text { in }{\mathbb {R}}^{N}, \end{aligned}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Mat...

We study weighted composition operators on Banach spaces over unbounded, locally finite metric spaces. characterize the that are bounded, compact, being bounded below, having closed range, invertible, a (surjective) isometry, and Fredholm. Several examples presented illustrating diversity of such operators.

This study discusses some variants of Ordered WeightedAveraging (OWA) operators and related information aggregation methods. Indetail, we define the Extended Ordered Weighted Sum (EOWS) operator and theExtended Ordered Weighted Averaging (EOWA) operator, which are applied inscientometrics evaluation where the preference is over finitely manyrepresentative works. As...

In this note we characterize the compact weighted Frobenius-Perron operator $p$ on $L^1(Sigma)$ and determine their spectra. We also show that every weakly compact weighted Frobenius-Perron operator on $L^1(Sigma)$ is compact.

The aim of this paper is to study the dynamics of commuting system of two insular regions of Italy, Sardinia and Sicily, inspected as complex networks. The authors refer to a thirty-year time period and take into account three census dataset about the work and study-driven intermunicipal origin-destination movements of residential inhabitants in 1981, 1991, and 2001. Since it is likely that the...

This paper presents a generalization of the random dot product model for networks whose edge weights are drawn from a parametrized probability distribution. We focus on the case of integer weight edges and show that many previously studied models can be recovered as special cases of this generalization. Our model also determines a dimension–reducing embedding process that gives geometric interp...

There is an increasing interest in the relationship between area-based disadvantage and obesity but the extent to which the poverty-obesity relationship remains constant across geographical areas remains unclear. We examined geographical variations in the relationship between poverty and obesity in Taiwan using geographically weighted regression (GWR). A representative sample of 27,293 Taiwanes...

While Distance Weighted Discrimination (DWD) is an appealing approach to classification in high dimensions, it was designed for balanced datasets. In the case of unequal costs, biased sampling, or unbalanced data, there are major improvements available, using appropriately weighted versions of DWD (wDWD). A major contribution of this paper is the development of optimal weighting schemes for var...