Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Bifulco, Patrizio"'
Autor:
Bifulco, Patrizio, Kerner, Joachim
We study Schr\"odinger operators on compact finite metric graphs subject to $\delta'$-coupling conditions. Based on a novel modified local Weyl law, we derive an explicit expression for the limiting mean eigenvalue distance of two different self-adjo
Externí odkaz:
http://arxiv.org/abs/2407.21719
Autor:
Bifulco, Patrizio, Mugnolo, Delio
We study the $p$-\emph{torsion function} and the corresponding $p$-\emph{torsional rigidity} associated with $p$-Laplacians and, more generally, $p$-Schr\"odinger operators, for $1
Externí odkaz:
http://arxiv.org/abs/2312.14131
Autor:
Bifulco, Patrizio, Kerner, Joachim
Publikováno v:
J. Math. Phys. (2024)
In this paper we establish spectral comparison results for Schr\"odinger operators on a certain class of infinite quantum graphs, using recent results obtained in the finite setting. We also show that new features do appear on infinite quantum graphs
Externí odkaz:
http://arxiv.org/abs/2308.16869
Autor:
Bifulco, Patrizio, Kerner, Joachim
Publikováno v:
Archiv der Mathematik (2024)
Based on the main result presented in a recent paper, we derive Ambarzumian-type theorems for Schr\"odinger operators defined on quantum graphs. We recover existing results such as the classical theorem by Ambarzumian and establish some seemingly new
Externí odkaz:
http://arxiv.org/abs/2308.10881
Autor:
Bifulco, Patrizio, Mugnolo, Delio
We study integral kernels of strongly continuous semigroups on Lebesgue spaces over metric measure spaces. Based on semigroup smoothing properties and abstract Morrey-type inequalities, we give sufficient conditions for H\"older or Lipschitz continui
Externí odkaz:
http://arxiv.org/abs/2307.08889
Autor:
Bifulco, Patrizio, Kerner, Joachim
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 connectivity measures of graphs and to the definition of a special class of
Externí odkaz:
http://arxiv.org/abs/2305.06290
Autor:
Bifulco, Patrizio, Kerner, Joachim
Publikováno v:
Proc. Amer. Math. Soc. (2023)
We study Schr\"odinger operators on compact finite metric graphs subject to $\delta$-coupling and standard boundary conditions. We compare the $n$-th eigenvalues of those self-adjoint realizations and derive an asymptotic result for the mean value of
Externí odkaz:
http://arxiv.org/abs/2212.13954
This paper characterizes equilibrium properties of a broad class of economic models that allow multiple heterogeneous agents to interact in heterogeneous manners across several markets. Our key contribution is a new theorem providing sufficient condi
Externí odkaz:
http://arxiv.org/abs/2209.02635
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