Equivalence of Sobolev Inequalities and LiebThirring Inequalities
Abstract
We show that, under very general definitions of a kinetic energy operator T, the LiebThirring inequalities for sums of eigenvalues of T  V can be derived from the Sobolev inequality appropriate to that choice of T.
 Publication:

XVITH INTERNATIONAL CONGRESS ON MATHEMATICAL PHYSICS. Held 38 August 2009 in Prague
 Pub Date:
 March 2010
 DOI:
 10.1142/9789814304634_0045
 arXiv:
 arXiv:0909.5449
 Bibcode:
 2010maph.conf..523F
 Keywords:

 Schrödinger operator;
 Sobolev inequality;
 bound states;
 stability of matter;
 Mathematics  Spectral Theory;
 Mathematical Physics
 EPrint:
 13 pages