Geodesic
Lieb–Thirring inequalities with improved constants
Journal of the European Mathematical Society, Tome 10 (2008) no. 4, pp. 1121-1126.

Voir la notice de l'article provenant de la source EMS Press

Following Eden and Foias we obtain a matrix version of a generalised Sobolev inequality in one-dimension. This allows us to improve on the known estimates of best constants in Lieb-Thirring inequalities for the sum of the negative eigenvalues for multi-dimensional Schrödinger operators.
DOI : 10.4171/jems/142
Classification : 35-XX, 81-XX, 00-XX
Keywords: Sobolev inequalities, Schrödinger operator, Lieb–Thirring inequalities 
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     title = {Lieb{\textendash}Thirring inequalities with improved constants},
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Jean Dolbeault; Ari Laptev; Michael Loss. Lieb–Thirring inequalities with improved constants. Journal of the European Mathematical Society, Tome 10 (2008) no. 4, pp. 1121-1126. doi : 10.4171/jems/142. http://geodesic.mathdoc.fr/articles/10.4171/jems/142/

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