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A complementary result on a singular mean field equation with a sign-changing potential function

Year: 2025

Type: article

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 still holds. As a consequence of this estimate, existence and multiplicity results can still be obtained in terms of the topology of the manifold.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/proc/17369

Author: Lina Wu

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4414345922

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Cites: 13

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