99 citations · 403 across the 43 of their papers we have counts for
Showing 2009Show all
2 papers · 1 filter
math.SP2009
Inequalities between Dirichlet and Neumann eigenvalues on the Heisenberg group
Rupert L. Frank, Ari Laptev
We prove that for any domain in the Heisenberg group the (k+1)'th Neumann eigenvalue of the sub-Laplacian is strictly less than the k'th Dirichlet eigenvalue. As a byproduct we obt…
math.SP2009★ 3 cited
A sharp bound on eigenvalues of Schroedinger operators on the halfline with complex-valued potentials
Rupert L. Frank, Ari Laptev, Robert Seiringer
We derive a sharp bound on the location of non-positive eigenvalues of Schroedinger operators on the halfline with complex-valued potentials.