A complementary result on a singular mean field equation with a sign-changing potential function
Analysis of PDEs
2024-08-02 v1
Abstract
In this note, we study the singular mean field equation defined on a Riemann surface with a sign-changing potential function. We prove if some singular sources happen to be placed on the zero-level curve of the potential function, a priori estimate can still be obtained. As a consequence of this estimate, existence and multiplicity results can still be obtained based on the topology of the manifold.
Keywords
Cite
@article{arxiv.2408.00036,
title = {A complementary result on a singular mean field equation with a sign-changing potential function},
author = {Lina Wu},
journal= {arXiv preprint arXiv:2408.00036},
year = {2024}
}