Estimates for Ratios of Low-Order Eigenvalues of the Laplacian with Muckenhoupt Weights on Euclidean Domains

Jing Mao, He-Jun Sun, Lingzhong Zeng

We study low-order eigenvalue ratio estimates for the Laplacian with Muckenhoupt $A_2$ weights. For weights bounded above and below, we prove a universal upper bound for ${\lambda }_2/{\lambda }_1$…