5 citations · 5 across the 4 of their papers we have counts for
4 papers
Spectral Properties of Some Degenerate Elliptic Differential Operators
Roger T. Lewis
In this paper we extend classical criteria for determining lower bounds for the least point of the essential spectrum of second-order elliptic differential operators on domains $Ω\…
A geometric characterization of a sharp Hardy inequality
Roger T. Lewis, Junfang Li, Yanyan Li
In this paper, we prove that the distance function of an open connected set in with a boundary is superharmonic in the distribution sense if and only if t…
Improved Hardy-Sobolev inequalities
A. Balinsky, W. D. Evans, D. Hundertmark +1
The main result includes features of a Hardy-type inequality and an inequality of either Sobolev or Gagliardo-Nirenberg type. It is inspired by the method of proof of a recent impr…
Semi-classical asymptotics for the counting functions and Riesz means of Pauli and Dirac operators with large magnetic fields
A. A. Balinsky, W. D. Evans, Roger T. Lewis
We study the asymptotic behavior, as Planck's constant , of the number of discrete eigenvalues and the Riesz means of Pauli and Dirac operators with a magnetic field $μ…