Lower Bounds for the First Eigenvalue of the p-Laplacian on Quaternionic Kähler Manifolds

We study the first nonzero eigenvalues for the p-Laplacian on quaternionic Kähler manifolds. Our first result is a lower bound for the first nonzero closed (Neumann) eigenvalue of the p-Laplacian on compact quaternionic Kähler manifolds. Our second result is a lower bound for the first Dirichlet eigenvalue of the p-Laplacian on compact quaternionic Kähler manifolds with smooth boundary. Our results generalize corresponding results for the Laplace eigenvalues on quaternionic Kähler manifolds proved in Li and Wang (J Geom Anal 33(3):20, 2023).