Inequalities for the minimal eigenvalue of the Laplacian in an annulus

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58451It is proved that the minimal Dirichlet eigenvalue of the Laplacian in an annulus is a monotonically decreasing function of the displacement of the center of the smaller disc. The maximal value of the minimal eigenvalue is attained when the annulus is formed by two concentric discs.Mathematical PhysicsAnalysis of PDEs35J05, 35P15Inequalities for the minimal eigenvalue of the Laplacian in an annulustext