Results 41 to 50 of about 2,148 (72)

An estimate for the number of bound states of the Schrödinger operator in two dimensions [PDF]

, 2004
For the Schrödinger operator -Δ + V on R^2 be the number of bound states. One obtains the following estimate: N(V) ≤ 1 + ∫_(R^2)∫_(R^2)|V(x)|V(y)|C_(1)ln|x-y|+C_2|^2 dx dy where C_1 = -1/2π and C_2 = (ln2-γ)/2π (γ is the Euler constant).
Stoiciu, Mihai
core  

Rigidity on an eigenvalue problem with mixed boundary condition [PDF]

arXiv, 2017
We prove an Obata-type rigidity result for the spherical cap and apply it for an eigenvalue problem with mixed boundary condition.
arxiv  

Upper bounds for the eigenvalues of Hessian equations [PDF]

, 2012
We prove some upper bounds for the Dirichlet eigenvalues of a class of fully nonlinear elliptic equations, namely the Hessian ...
arxiv   +1 more source

Eigenvalue estimates for the higher order buckling problem [PDF]

, 2016
In this paper, we consider lower order eigenvalues of Laplacian operator with any order in Euclidean domains. By choosing special rectangular coordinates, we obtain two estimates for lower order eigenvalues.Comment: This article has an ...
Huang, Guangyue, Li, Xingxiao
core  

On the eigenvalues of a biharmonic Steklov problem

, 2015
We consider an eigenvalue problem for the biharmonic operator with Steklov-type boundary conditions. We obtain it as a limiting Neumann problem for the biharmonic operator in a process of mass concentration at the boundary. We study the dependence of the
Buoso, Davide, Provenzano, Luigi
core   +1 more source

Bottom of spectra and coverings [PDF]

arXiv, 2019
We discuss the behaviour of the bottom of the spectrum of scalar Schr\"odinger operators under Riemannian coverings.
arxiv  

The first eigenvalue of the Dirac operator on locally reducible Riemannian manifolds [PDF]

arXiv, 2005
We prove a lower estimate for the first eigenvalue of the Dirac operator on a compact locally reducible Riemannian spin manifold with positive scalar curvature. We determine also the universal covers of the manifolds on which the smallest possible eigenvalue is attained.
arxiv  

Eigenvalues estimate for the Neumann problem on bounded domains [PDF]

, 2008
In this note, we investigate upper bounds of the Neumann eigenvalue problem for the Laplacian of a bounded domain (with smooth boundary) in a given complete (not compact a priori) Riemannian manifold with Ricci bounded below .
Colbois, Bruno, Maerten, Daniel
core   +2 more sources

On the Constructively Determination the Spectral Invariants of the Periodic Multidimensional Schrodinger Operator [PDF]

arXiv, 2007
In this paper we constructively determine a family of the spectral invariants of the multidimensional Schrodinger operator with a periodic potential by the given band functions.
arxiv  

On the Spectrum of the Dirichlet Laplacian in a Narrow Strip [PDF]

arXiv, 2007
We derive a two-terms asymptotics for eigenvalues of the Dirichlet Laplacian in a narrow strip of variable width. The asymptotics is taken with respect to a small paprameter that characterizes the width of the strip.
arxiv