20 citations · 33 across the 7 of their papers we have counts for
7 papers
On estimates for the discrete eigenvalues of two-dimensional quantum waveguides
Martin Karuhanga, Catherine Ashabahebwa
In this paper, we give upper estimates for the number and sum of eigenvalues below the bottom of the essential spectrum counting multiplicities of quantum waveguides in two dimensi…
A Mathematical Model for Co-infection Dynamics of Pneumocystis Pneumonia and HIV/AIDS with Treatment
Michael Byamukama, Damian Kajunguri, Martin Karuhanga
The control of opportunistic infections among HIV infected individuals should be one of the major public health concerns in reducing mortality rate of individuals living with HIV/A…
On negative eigenvalues of two-dimensional Schroedinger operators with singular potentials
Martin Karuhanga, Eugene Shargorodsky
We present upper estimates for the number of negative eigenvalues of two-dimensional Schroedinger operators with potentials generated by Ahlfors regular measures of arbitrary dimen…
On the discrete spectrum of Schroedinger operators with Ahlfors regular potentials in a strip
Martin Karuhanga
In this paper, quantitative upper estimates for the number of eigenvalues lying below the essential spectrum of Schroedinger operators with potentials generated by Ahlfors regular…
Eigenvalue bounds for a class of Schroedinger operators in a strip
Martin Karuhanga
This paper is concerned with the estimation of the number of negative eigenvalues (bound states) of Schroedinger operators in a strip subject to Neumann boundary conditions. The es…
Estimates for the number of eigenvalues of two dimensional Schroedinger operators lying below the essential spectrum
Martin Karuhanga
The celebrated Cwikel-Lieb_Rozenblum inequality gives an upper estimate for the number of negative eigenvalues of Schroedinger operators in dimension three and higher. The situatio…
On negative eigenvalues of two-dimensional Schrödinger operators
Eugene Shargorodsky
The paper presents estimates for the number of negative eigenvalues of a two-dimensional Schrödinger operator in terms of type Orlicz norms of the potential and proves a…