3 citations · 5 across the 8 of their papers we have counts for
3 papers · 1 filter
Supersolution Construction and Optimal Hardy Inequality for Fractional Laplacians
Philipp Hake, Matthias Keller, Felix Pogorzelski
We give a new criterion to show optimality of Hardy weights for general operators on graphs via the supersolution construction. For Laplacians on graphs without killing terms this…
A Liouville Theorem for Domains in Graphs
Philipp Hake, Matthias Keller, Felix Pogorzelski +1
We show a Liouville theorem for domains in graphs with Dirichlet boundary conditions. More specifically, we characterize the non-existence of non-zero bounded harmonic functions. S…
Capacity of infinite graphs over non-Archimedean ordered fields
Florian Fischer, Matthias Keller, Anna Muranova +1
In this article we study the notion of capacity of a vertex for infinite graphs over non-Archimedean fields. In contrast to graphs over the real field monotone limits do not need t…