research

Rigidity for pp-Laplacian type equations on compact Riemannian manifolds

Abstract

In this paper, we obtain two rigidity results for pp-Laplacian type equations on compact Riemannian manifolds by using of the carr\'e du champ and nonlinear flow methods, respectively, where rigidity means that the PDE has only constant solution when a parameter is in a certain range. Moreover, an interpolation inequality is derived as an application.Comment: 14 page

    Similar works

    Full text

    thumbnail-image

    Available Versions