Results 61 to 70 of about 2,148 (72)

Lower bounds for the counting function of integral operators [PDF]

Operator Theory: Advances and Applications, Vol. 228 (2013), pp. 343-354, 2013
The paper presents a lower bound for the number of negative eigenvalues of an integral operator with continuous kernel K lying below a nonpositive number t. The estimate is given in terms of some integrals of K.
arxiv  

An upper bound for the number of eigenvalues of non-selfadjoint Schrödinger operator [PDF]

arXiv, 2013
Estimates for the total multiplicity of eigenvalues for Schr\"odinger operator are established in the case of compactly supported or exponentially decreasing complex-valued potential.
arxiv  

Small eigenvalues of surfaces [PDF]

J. Di?erential Geom. 103 (2016), no. 1, 1-13, 2014
We show that the Laplacian of a Riemannian metric on a closed surface S with Euler characteristic \chi(S) < 0 has at most -\chi(S) small eigenvalues.
arxiv  

A disc maximizes Laplace eigenvalues among isoperimetric surfaces of revolution [PDF]

arXiv, 2014
The Dirichlet eigenvalues of the Laplace-Beltrami operator are larger on a flat disc than on any other surface of revoltuion immersed in Euclidean space with the same boundary.
arxiv  

On some new spectral estimates for Schrödinger-like operators

Open Mathematics, 2006
Levin Daniel
doaj   +1 more source

A spectral estimate for the Dirac operator on Riemannian flows

Open Mathematics, 2010
Ginoux Nicolas, Habib Georges
doaj   +1 more source

Sobolev type inequalities for compact metric graphs. [PDF]

J Inequal Appl, 2018
Usman M.
europepmc   +1 more source

Fermionic behavior of ideal anyons. [PDF]

Lett Math Phys, 2018
Lundholm D, Seiringer R.
europepmc   +1 more source

Geometric Bounds for Low Steklov Eigenvalues of Finite Volume Hyperbolic Surfaces. [PDF]

J Geom Anal
Hassannezhad A, Métras A, Perrin H.
europepmc   +1 more source

Eigenvalue Estimates on Weighted Manifolds. [PDF]

Results Math
Branding V, Habib G.
europepmc   +1 more source