2 papers
math.NA2024
The Eigenvalue Problem for the Laplacian via Conformal Mapping and the Gohberg--Sigal Theory
Marius Beceanu, Jiho Hong, Hyun-Kyoung Kwon +1
We consider the Dirichlet and Neumann eigenvalues of the Laplacian for a planar, simply connected domain. The eigenvalues admit a characterization in terms of a layer potential of…
math.AP2024
Approximation of the first Steklov-Dirichlet eigenvalue on eccentric spherical shells in general dimensions
Jiho Hong, Woojoo Lee, Mikyoung Lim
We study the first Steklov-Dirichlet eigenvalue on eccentric spherical shells in with , imposing the Steklov condition on the outer boundary sphere, den…