Work

Laplacian eigenvalues for large negative Robin parameters on domains with outward peaks

Year: 2025

Type: article

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.

Source: Nonlinear Differential Equations and Applications NoDEA

DOI: 10.1007/s00030-025-01136-5

Authors: Konstantin Pankrashkin, Firoj Sk, Marco Vogel

Institutions: Carl von Ossietzky Universität Oldenburg, TU Dortmund University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Alexander von Humboldt-Stiftung, Deutsche Forschungsgemeinschaft