6 citations · 10 across the 10 of their papers we have counts for
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On the -torsional rigidity of combinatorial graphs
Patrizio Bifulco, Delio Mugnolo
We study the -\emph{torsion function} and the corresponding -\emph{torsional rigidity} associated with -Laplacians and, more generally, -Schrödinger operators, for $1<p…
Some spectral comparison results on infinite quantum graphs
Patrizio Bifulco, Joachim Kerner
In this paper we establish spectral comparison results for Schrödinger operators on a certain class of infinite quantum graphs, using recent results obtained in the finite setting.…
A note on Ambarzumian's theorem for quantum graphs
Patrizio Bifulco, Joachim Kerner
Based on the main result presented in a recent paper, we derive Ambarzumian-type theorems for Schrödinger operators defined on quantum graphs. We recover existing results such as t…
On the Lipschitz continuity of the heat kernel
Patrizio Bifulco, Delio Mugnolo
We study integral kernels of strongly continuous semigroups on Lebesgue spaces over metric measure spaces. Based on semigroup smoothing properties and abstract Morrey-type inequali…
On the surface area of graphs, related connectivity measures and spectral estimates
Patrizio Bifulco, Joachim Kerner
In this note we elaborate on some notions of surface area for discrete graphs which are closely related to the inverse degree. These notions then naturally lead to associated conne…