A class of critical $ p $-Kirchhoff type equations on closed manifolds

The paper deals with a parametrized $ p $-Kirchhoff type problem involving a criticalnonlinearity on a closed Riemannian manifold $ (M,{{{g}}}) $ of dimension $ n\geq 3 $. Existence and multiplicity of solutions are obtained under suitable conditions by variation methods. Our results extend and enrich the previous work of E. Hebey [Comm. Partial Differential Equations, 41 (2016), 913-924] from the specific case of $ p = 2 $ to the general case of $ 1