AbstractThe spectrum and essential spectrum or the Schrödinger operator Δ + V on a complete manifold are studied. As applications, we determine the index of the catenoid of any dimension and the essential spectrum for several minimal submanifolds in the Euclidean space of the Jacobi operator arising from the second variation for the volume of minimal submanifolds
It is a well known fact in operator theory that for any operator A, the essential spectrum of A is c...
We consider Schrödinger operators H = −1/2 Δ + V for a large class of potentials. V. We show that if...
In this work, we use the notion of the measure of noncompactness in order to establish some results ...
AbstractThe spectrum and essential spectrum or the Schrödinger operator Δ + V on a complete manifold...
We provide a very general result which identifies the essential spectrum of broad classes of operato...
By using a measure transformation method, the essential spectrum of the Laplacian in a noncompact Ri...
AbstractIn this paper we study the existence of a first zero and the oscillatory behavior of solutio...
The essential spectrum of the Laplacian on functions over a noncompact Riemannian manifold has been ...
AbstractIn the first part of this paper, we obtain an optimal upper bound for the second eigenvalue ...
We establish equality between the essential spectrum of the Schrödinger operator with magnetic field...
AbstractAn extension of the theorem of Hunziker-van Winter-Zhislin on the location of the essential ...
In this thesis we consider a family of Riemannian manifolds, not necessarily complete, with curvatur...
AbstractWe establish equality between the essential spectrum of the Schrödinger operator with magnet...
A geometrical description for the essential spectra of a large class of Schrödinger operators is pre...
Let V be a noncompact complete Riemannian manifold. We find a geometric condition which assures that...
It is a well known fact in operator theory that for any operator A, the essential spectrum of A is c...
We consider Schrödinger operators H = −1/2 Δ + V for a large class of potentials. V. We show that if...
In this work, we use the notion of the measure of noncompactness in order to establish some results ...
AbstractThe spectrum and essential spectrum or the Schrödinger operator Δ + V on a complete manifold...
We provide a very general result which identifies the essential spectrum of broad classes of operato...
By using a measure transformation method, the essential spectrum of the Laplacian in a noncompact Ri...
AbstractIn this paper we study the existence of a first zero and the oscillatory behavior of solutio...
The essential spectrum of the Laplacian on functions over a noncompact Riemannian manifold has been ...
AbstractIn the first part of this paper, we obtain an optimal upper bound for the second eigenvalue ...
We establish equality between the essential spectrum of the Schrödinger operator with magnetic field...
AbstractAn extension of the theorem of Hunziker-van Winter-Zhislin on the location of the essential ...
In this thesis we consider a family of Riemannian manifolds, not necessarily complete, with curvatur...
AbstractWe establish equality between the essential spectrum of the Schrödinger operator with magnet...
A geometrical description for the essential spectra of a large class of Schrödinger operators is pre...
Let V be a noncompact complete Riemannian manifold. We find a geometric condition which assures that...
It is a well known fact in operator theory that for any operator A, the essential spectrum of A is c...
We consider Schrödinger operators H = −1/2 Δ + V for a large class of potentials. V. We show that if...
In this work, we use the notion of the measure of noncompactness in order to establish some results ...
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