Geodesic
Lieb–Thirring inequalities with improved constants
Journal of the European Mathematical Society, Tome 10 (2008) no. 4, pp. 1121-1126 Cet article a éte moissonné depuis la source EMS Press

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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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     author = {Jean Dolbeault and Ari Laptev and Michael Loss},
     title = {Lieb{\textendash}Thirring inequalities with improved constants},
     journal = {Journal of the European Mathematical Society},
     pages = {1121--1126},
     year = {2008},
     volume = {10},
     number = {4},
     doi = {10.4171/jems/142},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/142/}
}
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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

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