标题: The lower bound of first Dirichlet eigenvalue of p-Laplacian in Riemannian manifolds

报告人：靳晓尚（华中科技大学）

邀请人：张雅山

时间：2024年12月19日11:00-12:00

地点：澳门新葡京娱乐城 425

摘要: In this talk, I will introduce the lower bound of the first Dirichlet eigenvalue of bounded domains for the p-Laplacian under 

the condition that the domain admits a specific function which fulfills certain criteria related to divergence and gradient conditi-

ons. As an application, we show that $p(\lambda_{1,p})^{1/p}$ is an increasing function about p. As another application, we provide

 an estimation for the first Dirichlet eigenvalue of geodesic balls with large radius in asymptotically hyperbolic Einstein mani-

folds.