Symmetry and Monotonicity for Subcritical Fractional Hartree Equations with Singular Sets of Zero Capacity
Year: 2026
Type: preprint
Abstract: We study positive weak singular solutions of the subcritical fractional Hartree equation \[ (-Δ)^s u = \left( \int_{\mathbb{R}^N\setminusΓ} \frac{u^p(y)}{|x-y|^μ}d y \right)u^q \quad\text{in }\mathbb{R}^N\setminusΓ, \] where \(02s\), \(0<μ
Source: arXiv (Cornell University)
Authors: Gu, Guangze, Jevnikar, Aleks, Yang, Zhipeng
Institutions: Yunnan Normal University, University of Udine
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G6285904573, G7357072266, G7592286726
OpenAlex ID: W7223029355