On Kirchhoff type problems with singular nonlinearity in closed manifolds

Abstract

This paper dealt with a class of Kirchhoff type equations involving singular nonlinearity in a closed Riemannian manifold $ (M, g) $ of dimension $ n\ge3 $. Existence and uniqueness of a positive weak solution were obtained under certain assumptions with the help of the variation methods and some analysis techniques.

Keywords

• kirchhoff equations
• singularity
• critical exponent
• closed manifolds
• variational methods