A note on domain monotonicity for the Neumann eigenvalues of the Laplacian
arXiv:2202.03598
Abstract
Given a convex domain and its convex sub-domain we prove a variant of domain monotonicity for the Neumann eigenvalues of the Laplacian. As an application of our method we also obtain an upper bound for Neumann eigenvalues of the Laplacian of a convex domain.
Final version. To appear in Illinois J. Math