A note on domain monotonicity for the Neumann eigenvalues of the Laplacian
A note on domain monotonicity for the Neumann eigenvalues of the Laplacian
Given a convex domain and a convex subdomain, 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.