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math.AP2024
On Landis' conjecture for positive Schrödinger operators on graphs
Ujjal Das, Matthias Keller, Yehuda Pinchover
In this note we study the Landis conjecture for positive Schrödin\-ger operators on graphs. More precisely, we prove a Landis-type result in the form of a decay criterion that ensu…
math.AP2024★ 1 cited
The space of Hardy-weights for quasilinear operators on discrete graphs
Ujjal Das, Matthias Keller, Yehuda Pinchover
We study Hardy inequalities for -Schrödinger operators on general weighted graphs. Specifically, we prove a Maz'ya-type result, where we characterize the space of Hardy weights…
math.AP2024★ 1 cited
The Landis conjecture via Liouville comparison principle and criticality theory
Ujjal Das, Yehuda Pinchover
We give partial affirmative answers to Landis conjecture in all dimensions for two different types of linear, second order, elliptic operators in a domain .…