130 citations · 192 across the 43 of their papers we have counts for
52 papers
Strictly positive optimal Hardy weights on manifolds and graphs via Green potential
Ujjal Das, Matthias Keller, Yehuda Pinchover
Consider a subcritical functional associated with a -Schrödinger operator defined on a domain in noncompact Riemannian manifold. Employing the supersolution construction…
On the Landis Conjecture for Positive Quasi-linear Operators on Graphs
Ujjal Das, Matthias Keller, Yehuda Pinchover
We prove a Landis type unique continuation result for positive quasi-linear operators on graphs. Specifically, we give decay criteria that ensures when a harmonic function for a po…
On the behavior of the ground state energy under weak perturbation of critical quasilinear operators in
Ujjal Das, Hynek Kovařík, Yehuda Pinchover
We consider a critical quasilinear operator in perturbed by a weakly coupled potential. For , we find the leading asymptotic of the lowest…
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…
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…
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 .…