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math.AP2026
Quantitative uniform resolvent estimates
Piero D'Ancona, Jérémy Faupin, David Krejcirik
We derive quantitative uniform resolvent estimates for Schrödinger operators on the half-line with inverse-square potentials, which provide a sharp behaviour in the limit of large…
math.AP2025
Critical quasilinear Schroedinger equations with electromagnetic fields
Laura Baldelli, Roberta Filippucci, David Krejcirik
The p-Laplace operator in the entire N-dimensional Euclidean space, subject to external electromagnetic potentials, is investigated. In the general case 1<p<N, the existence of at…
math.AP2023
Curved nonlinear waveguides
Laura Baldelli, David Krejcirik
The Dirichlet p-Laplacian in tubes of arbitrary cross-section along infinite curves in Euclidean spaces of arbitrary dimension is investigated. First, it is shown that the gap betw…