1 citations · 2 across the 4 of their papers we have counts for
4 papers
Stability of ground state eigenvalues of non-local Schrödinger operators with respect to potentials and applications
Giacomo Ascione, József Lőrinczi
In a first part of this paper we investigate the continuity (stability) of the spectrum of a class of non-local Schrödinger operators on varying the potentials. By imposing conditi…
Typical long time behaviour of ground state-transformed jump processes
Kamil Kaleta, József Lőrinczi
We consider a class of Lévy-type processes derived via a Doob-transform from Lévy processes conditioned by a control function called potential. These processes have position-depend…
Ambrosetti-Prodi type results for Dirichlet problems of fractional Laplacian-like operators
Anup Biswas, József Lőrinczi
We establish Ambrosetti--Prodi type results for viscosity and classical solutions of nonlinear Dirichlet problems for the fractional Laplace and comparable operators. In the choice…
The Spectrum of Non-Local Discrete Schroedinger Operators with a delta-Potential
Fumio Hiroshima, József Lőrinczi
The behaviour of the spectral edges (embedded eigenvalues and resonances) is discussed at the two ends of the continuous spectrum of non-local discrete Schrödinger operators with a…