The study of quantum ergodicity and the precise estimation of eigenfunctions on Riemannian manifolds lies at the intersection of geometric analysis and quantum physics. In settings where the ...

This is a preview. Log in through your library . Abstract Based on gradient estimates of the eigenfunction, we prove lower bound estimates for the first nonzero eigenvalue of the 𝜇-Laplacian on a ...

This is a preview. Log in through your library . Abstract We study the first Dirichlet eigenfunction of a class of Schrödinger operators with a convex, non-negative, potential 𝑉 on a convex, planar ...