Mathematics > Analysis of PDEs
[Submitted on 30 Jul 2025
]
Title: Continuity of critical points for 1-dimensional non-local energies
Title: 一维非局部能量的关键点连续性
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.
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