Monotonicity of the first Dirichlet eigenvalue of regular polygons

arXiv:2601.16285 · math.SP, math.AP · Submitted 2026-01-22 · Read on arXiv

math.SP, math.AP

Submitted: 2026-01-22

Updated: 2026-10-23

Terminology

• Monotonicity — 2× in this paper · explained in 2 episodes

Related papers

• Displacement structure and eigenvalue bounds for multiband prolate matrices
• On the inequality mu 3 < lambda 1 for the eigenvalues of the Laplace operator
• P'olya's conjecture for Neumann eigenvalues of spherical shells
• Lower bounds on Steklov eigenfunctions for a class of curvilinear polygons
• Optimal Hardy weights for the fractional discrete Dirichlet Laplacian on the half-line
• Local Optimality of the d-cube for Laplacian Eigenvalues