Continuity of critical points for 1-dimensional non-local energies
Abstract In this paper we deal with the bounded critical points of a Riesz energy of attractive-repulsive type in dimension 1. Under suitable assumptions on the growth of the kernel in the origin, we are able to prove that they are continuous inside their support.
Authors
- Davide Carazzato (ORCID: https://orcid.org/0000-0001-7511-6698)
- Nicola Fusco (ORCID: https://orcid.org/0000-0001-8215-8351)
- Aldo Pratelli (ORCID: https://orcid.org/0000-0002-3670-6625)
Institutions
- University of Pisa (IT)
- University of Vienna (AT)
- Istituto Nazionale di Fisica Nucleare, Sezione di Napoli (IT)
Publication Details
- Journal
- Advances in Calculus of Variations
- Published
- 2026-06-25
- DOI
- https://doi.org/10.1515/acv-2025-0094
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Austrian Science Fund