Rigidity for $p$-Laplacian type equations on compact Riemannian manifolds
Yu‐Zhao Wang, Pei‐Can Wei · arXiv (Cornell University) · 2019
In this paper, we obtain two rigidity results for $p$-Laplacian type equations on compact Riemannian manifolds by using of the carre 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.