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math.AP2022
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…
math.AP2018
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…