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math.AP2022
On the Optimality and Decay of -Hardy Weights on Graphs
Florian Fischer
We construct optimal Hardy weights to subcritical energy functionals associated with quasilinear Schrödinger operators on locally finite graphs. Here, optimality means that the…
math-ph2022★ 2 cited
Quasi-Linear Criticality Theory and Green's Functions on Graphs
Florian Fischer
We study energy functionals associated with quasi-linear Schrödinger operators on infinite graphs, and develop characterisations of (sub-)criticality via Green's functions, harmoni…
math-ph2022
A Non-Local Quasi-Linear Ground State Representation and Criticality Theory
Florian Fischer
We study energy functionals associated with non-local quasi-linear Schrödinger operators, and develop a ground state representation. Our main focus is on infinite graphs but we als…