Resumen de Positive solutions of the p-Laplacian with potential terms on weighted Riemannian manifolds with linear diameter growth

Atsushi Kasue

• In this paper, we consider the p-Laplacian with potential terms on a connected, noncompact, complete weighted Riemannian manifold whose Ricci curvature has quadratic decay, or a lower bound. We investigate the structure and the behavior of positive solutions under the assumption that the metric spheres of the Riemannian manifold have linear diameter growth.