Laplacian eigenvalues for large negative Robin parameters on domains with outward peaks
Konstantin Pankrashkin, Firoj Sk, Marco Vogel · Nonlinear Differential Equations and Applications NoDEA · 2025
Abstract We study the asymptotic behavior of individual eigenvalues of the Laplacian in domains with outward peaks for large negative Robin parameters. A large class of cross-sections is allowed, and the resulting asymptotic expansions reflect both the sharpness of the peak and the geometric shape of its cross-section. The results are an extension of previous works dealing with peaks whose cross-sections are balls.