A note on Kazdan–Warner type equations on compact Riemannian manifolds

In this note, we prove an existence result for generalized Kazdan–Warner equations on compact Riemannian manifolds by using the flow approach or the upper and lower solution method. In addition, we give a priori estimates for this type equations.

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Bibliographic Details
Published in:Nonlinear analysis 2024-09, Vol.246, p.113596, Article 113596
Main Author: Yu, Weike
Format: Article
Language:English
Subjects:
Flow approach
Kazdan–Warner equation
Moser iteration
Upper and lower solution method
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Description
Summary:In this note, we prove an existence result for generalized Kazdan–Warner equations on compact Riemannian manifolds by using the flow approach or the upper and lower solution method. In addition, we give a priori estimates for this type equations.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2024.113596