Recent results on Lieb-Thirring inequalities
Ari Laptev, Timo Weidl (2000)
Journées équations aux dérivées partielles
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We give a survey of results on the Lieb-Thirring inequalities for the eigenvalue moments of Schrödinger operators. In particular, we discuss the optimal values of the constants therein for higher dimensions. We elaborate on certain generalisations and some open problems as well.