On the Bossel-Daners inequality for the p-Laplacian on complete Riemannian manifolds

Abstract

In this paper, we obtain the Bossel-Daners inequality for the first eigenvalue of the p-Laplacian with Robin boundary conditions on complete Riemannian manifolds with lower Ricci curvature bounds. Furthermore, we demonstrate that the Bossel-Daners inequality extends to compact submanifolds within complete Riemannian manifolds characterized by positive asymptotic volume ratio and non-negative intermediate Ricci curvature.