3 papers
math.SP2026
The exterior Steklov problem for Euclidean domains
Lukas Bundrock, Alexandre Girouard, Denis S. Grebenkov +2
We investigate the Steklov eigenvalue problem in an exterior Euclidean domain. First, we present several formulations of this problem and establish the equivalences between them. N…
math.AP2025
Behavior of Absorbing and Generating -Robin Eigenvalues in Bounded and Exterior Domains
Lukas Bundrock, Tiziana Giorgi, Robert Smits
We establish rigorous quantitative inequalities for the first eigenvalue of the generalized -Robin problem, for both the classical diffusion absorption case, where the Robin bou…
math.AP2024
Geometric Optimization of the First Robin Eigenvalue in Exterior Domains
Lukas Bundrock
This paper addresses the geometric optimization problem of the first Robin eigenvalue in exterior domains, specifically the lowest point of the spectrum of the Laplace operator und…