5 citations · 6 across the 2 of their papers we have counts for
3 papers
math-ph2003★ 5 cited
Follytons and the Removal of Eigenvalues for Fourth Order Differential Operators
Jens Hoppe, Ari Laptev, Jorgen Ostensson
A non-linear functional is given that governs the loss, respectively gain, of (doubly degenerate) eigenvalues of fourth order differential operators $L = \partial^4 + \par…
math.AP2002★ 1 cited
Non-Linear Eigenvalues and Analytic Hypoellipticity
Sagun Chanillo, Bernard Helffer, Ari Laptev
Motivated by the problems of analytic hypoellipticity, we show that a special family of compact non self-adjoint operators has a non-zero eigenvalue. We recover old results by Chri…
math-ph1999
Sharp Lieb-Thirring Inequalities in High Dimensions
A. Laptev, T. Weidl
We show how a matrix version of the Buslaev-Faddeev-Zakharov trace formulae for a one-dimensional Schrödinger operator leads to Lieb-Thirring inequalities with sharp constants $L^{…