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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-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^{…