2 papers
math.SP2025
Optimal eigenvalues on a metric graph with densities
Kiyan Naderi, Noema Nicolussi
We introduce and study Laplacians on a finite metric graph endowed with generalized densities, that is, measures of finite mass. One important motivation is that this setting provi…
math.AP2025
Poisson-type problems with transmission conditions at boundaries of infinite metric trees
Maryna Kachanovska, Kiyan Naderi, Konstantin Pankrashkin
The paper introduces a Poisson-type problem on a mixed-dimensional structure combining a Euclidean domain and a lower-dimensional self-similar component touching a compact surface…