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math.AP2017★ 28 cited
Bi-Laplacians on graphs and networks
Federica Gregorio, Delio Mugnolo
We study the differential operator acting on a connected network along with , the square of the discrete Laplacian acting on a conn…
math.AP2017
Weighted Hardy's inequalities and Kolmogorov-type operators
Anna Canale, Federica Gregorio, Abdelaziz Rhandi +1
We give general conditions to state the weighted Hardy inequality \[ c\int_{\mathbb{R}^N}\frac{φ^2} {|x|^2}dμ\leq\int_{\mathbb{R}^N}|\nabla φ|^2 dμ+C\int_{\mathbb{R}^N} φ^2dμ,\quad…