preprint

Inserted: 13 aug 2025
Last Updated: 13 aug 2025

Year: 2025

Abstract:

In this paper we are concerned with positive singular solutions of a nonlocal Hartree equation. Under suitable assumptions, we prove that the solution is symmetric and monotone with respect to the singular set by using moving plane methods. Furthermore, we complement this study by showing the existence, for a model problem, of a singular solution with the desired properties.