In the present paper we consider Neumann Laplacians on singular domains of the type “rooms and passages” or “combs” and we show that, in typical situations, the essential spectrum can be determined from the geometric data. Moreover, given an arbitrary closed subset S of the non-negative reals, we construct domains Ω = Ω(S) such that the essential spectrum of the Neumann Laplacian on Ω is just this set S
We study the Neumann Laplacian of unbounded regions in ℝ^n with cusps at infinity so that the corres...
AbstractThe Neumann operator is an operator on the boundary of a smooth manifold which maps the boun...
Abstract. A Laplacian eigenfunction on a two-dimensional manifold dictates some natu-ral partitions ...
In the present paper we consider Neumann Laplacians on singular domains of the type “rooms and passa...
AbstractIn the present paper we consider Neumann Laplacians on singular domains of the type “rooms a...
ABSTRACT. The spectral theory for the Neumann Laplacian on planar domains with symmetric, horn-like ...
By using a measure transformation method, the essential spectrum of the Laplacian in a noncompact Ri...
Let V be a noncompact complete Riemannian manifold. We find a geometric condition which assures that...
Let Omega subset of R-n be a bounded domain. We perturb it to a domain Omega(epsilon) attaching a fa...
Exploiting the homogeneous structure of a wedge in the complex plane, we compute the spectrum of the...
The essential spectrum of the Laplacian on functions over a noncompact Riemannian manifold has been ...
In this thesis we consider a family of Riemannian manifolds, not necessarily complete, with curvatur...
We study spectral properties of the Neumann–Poincaré operator on planar domains with corners with pa...
In this paper we study integral estimates of derivatives of conformal mappings of the unit disc onto...
AbstractThe spectrum and essential spectrum or the Schrödinger operator Δ + V on a complete manifold...
We study the Neumann Laplacian of unbounded regions in ℝ^n with cusps at infinity so that the corres...
AbstractThe Neumann operator is an operator on the boundary of a smooth manifold which maps the boun...
Abstract. A Laplacian eigenfunction on a two-dimensional manifold dictates some natu-ral partitions ...
In the present paper we consider Neumann Laplacians on singular domains of the type “rooms and passa...
AbstractIn the present paper we consider Neumann Laplacians on singular domains of the type “rooms a...
ABSTRACT. The spectral theory for the Neumann Laplacian on planar domains with symmetric, horn-like ...
By using a measure transformation method, the essential spectrum of the Laplacian in a noncompact Ri...
Let V be a noncompact complete Riemannian manifold. We find a geometric condition which assures that...
Let Omega subset of R-n be a bounded domain. We perturb it to a domain Omega(epsilon) attaching a fa...
Exploiting the homogeneous structure of a wedge in the complex plane, we compute the spectrum of the...
The essential spectrum of the Laplacian on functions over a noncompact Riemannian manifold has been ...
In this thesis we consider a family of Riemannian manifolds, not necessarily complete, with curvatur...
We study spectral properties of the Neumann–Poincaré operator on planar domains with corners with pa...
In this paper we study integral estimates of derivatives of conformal mappings of the unit disc onto...
AbstractThe spectrum and essential spectrum or the Schrödinger operator Δ + V on a complete manifold...
We study the Neumann Laplacian of unbounded regions in ℝ^n with cusps at infinity so that the corres...
AbstractThe Neumann operator is an operator on the boundary of a smooth manifold which maps the boun...
Abstract. A Laplacian eigenfunction on a two-dimensional manifold dictates some natu-ral partitions ...