12 citations · 15 across the 5 of their papers we have counts for
5 papers
Spectral minimal partitions of combinatorial graphs
Matthias Hofmann, James B. Kennedy, Delio Mugnolo +1
This paper investigates spectral minimal partitions for weighted graphs, thus extending the extensive class of results that are currently available on domains and, to a lesser exte…
Interlacing and Friedlander-type inequalities for spectral minimal partitions of metric graphs
Matthias Hofmann, James B. Kennedy
We prove interlacing inequalities between spectral minimal energies of metric graphs built on Dirichlet and standard Laplacian eigenvalues, as recently introduced in [Kennedy et al…
On Pleijel's nodal domain theorem for quantum graphs
Matthias Hofmann, James B. Kennedy, Delio Mugnolo +1
We establish metric graph counterparts of Pleijel's theorem on the asymptotics of the number of nodal domains of the -th eigenfunction(s) of a broad class of operators on…
Asymptotics and estimates for spectral minimal partitions of metric graphs
Matthias Hofmann, James B. Kennedy, Delio Mugnolo +1
We study properties of spectral minimal partitions of metric graphs within the framework recently introduced in [Kennedy et al, Calc. Var. 60 (2021), 61]. We provide sharp lower an…
An existence theory for nonlinear equations on metric graphs via energy methods
Matthias Hofmann
The purpose of this paper is to develop a general existence theory for constrained minimization problems for functionals defined on function spaces on metric measure spaces $(\math…