Estimates for eigenvalues of Lr operator on self-shrinkers

Guangyue Huang, Xuerong Qi, Hongjuan Li

Let $x:M\to {\mathbb{R}}^N$ be an $n$-dimensional compact self-shrinker in ${\mathbb{R}}^N$ with smooth boundary $\partial \Omega$. In this paper, we study eigenvalues of the oper…