Geodesic
Lieb–Thirring inequalities on the half-line with critical exponent
Journal of the European Mathematical Society, Tome 10 (2008) no. 3, pp. 739-755.

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

We consider a Schrödinger operator on the half-line with a Dirichlet boundary condition at the origin and show that moments of its negative eigenvalues can be estimated by the part of the potential that is larger than the critical Hardy weight. The estimate is valid for the critical value of the moment parameter.
DOI : 10.4171/jems/128
Classification : 35-XX, 81-XX, 00-XX
Keywords: Schrödinger operator, Lieb–Thirring inequalities, Hardy inequality 
@article{JEMS_2008_10_3_a5,
     author = {Tomas Ekholm and Rupert L. Frank},
     title = {Lieb{\textendash}Thirring inequalities on the half-line with critical exponent},
     journal = {Journal of the European Mathematical Society},
     pages = {739--755},
     publisher = {mathdoc},
     volume = {10},
     number = {3},
     year = {2008},
     doi = {10.4171/jems/128},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/128/}
}
TY  - JOUR
AU  - Tomas Ekholm
AU  - Rupert L. Frank
TI  - Lieb–Thirring inequalities on the half-line with critical exponent
JO  - Journal of the European Mathematical Society
PY  - 2008
SP  - 739
EP  - 755
VL  - 10
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/128/
DO  - 10.4171/jems/128
ID  - JEMS_2008_10_3_a5
ER  - 
%0 Journal Article
%A Tomas Ekholm
%A Rupert L. Frank
%T Lieb–Thirring inequalities on the half-line with critical exponent
%J Journal of the European Mathematical Society
%D 2008
%P 739-755
%V 10
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/128/
%R 10.4171/jems/128
%F JEMS_2008_10_3_a5
Tomas Ekholm; Rupert L. Frank. Lieb–Thirring inequalities on the half-line with critical exponent. Journal of the European Mathematical Society, Tome 10 (2008) no. 3, pp. 739-755. doi : 10.4171/jems/128. http://geodesic.mathdoc.fr/articles/10.4171/jems/128/

Cité par Sources :