We consider a boundary value problem for a homogeneous elliptic equation with an
inhomogeneous Steklov boundary condition. The problem involves a singular perturbation …

In the present paper we develop an approach to obtain sharp spectral asymptotics for
Steklov type problems on planar domains with corners. Our main focus is on the two …

We obtain asymptotic formulae for the Steklov eigenvalues and eigenfunctions of curvilinear
polygons in terms of their side lengths and angles. These formulae are quite precise: the …

In the present paper we develop an approach to obtain sharp spectral asymptotics for
Steklov type problems on planar domains with corners. Our main focus is on the two …

We consider the Steklov-Dirichlet eigenvalue problem on eccentric annuli in Euclidean
space of general dimensions. In recent work by the same authors of this paper [21], a limiting …

In the paper we study boundary-value and spectral problems for the Laplacian operator in a
domain with a smooth boundary. It is assumed that on a small part of the boundary there is a …

We consider three different questions related to the Steklov and mixed Steklov problems on
surfaces. These questions are connected by the techniques that we use to study them, which …

In this paper we study the Steklov-Dirichlet eigenvalues $\lambda_k (\Omega,\Gamma_S) $,
where $\Omega\subset\mathbb {R}^ d $ is a domain and $\Gamma_S\subset\partial\Omega …

We study the first Steklov-Dirichlet eigenvalue on eccentric spherical shells in $\mathbb
{R}^{n+ 2} $ with $ n\geq 1$, imposing the Steklov condition on the outer boundary sphere …

In this article, we study Steklov eigenvalues and mixed Steklov Neumann eigenvalues on a
smooth bounded domain in $\mathbb {R}^{n} $, $ n\geq 2$, having a spherical hole. We …