Bounds on Schrödinger operators and generalized Sobolev type inequalities
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1985-1986), Exposé no. 23, 8 p. 
@article{SEDP_1985-1986____A23_0,
     author = {Lieb, Elliot H.},
     title = {Bounds on {Schr\"odinger} operators and generalized {Sobolev} type inequalities},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:23},
     pages = {1--8},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     year = {1985-1986},
     mrnumber = {874582},
     zbl = {0621.35030},
     language = {en},
     url = {http://www.numdam.org/item/SEDP_1985-1986____A23_0/}
}
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Lieb, Elliot H. Bounds on Schrödinger operators and generalized Sobolev type inequalities. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1985-1986), Exposé no. 23, 8 p. http://www.numdam.org/item/SEDP_1985-1986____A23_0/

[1] M. Aizenman and E.H. Lieb, On semiclassical bounds for eigenvalues of Schrödinger operators, Phys. Lett. 66A, 427-429 (1978). | MR

[2] M. Cwikel, Weak type estimates for singular values and the number of bound states of Schrödinger operators, Ann. Math. 106, 93-100 (1977). | MR | Zbl

[3] I. Daubechies, Commun. Math. Phys. 90, 511 (1983) | MR | Zbl

[4] E.H. Lieb, The number of bound states of one-body Schrödinger operators and the Weyl problem, A.M.S. Proc. Symp. in Pure Math. 36, 241-251 (1980). The result were announced in Bull. Ann. Math. Soc. 82, 751-753 (1976). | MR | Zbl

[5] H.E. Lieb, An Lp bound for the Riesz and Bessel potentials of orthonormal functions, J. Funct. Anal. 51, 159-165 (1983). | MR | Zbl

[6] E.H. Lieb, On characteristic exponents in turbulence, Commun. Math. Phys. 92, 413-480 (1984). | MR | Zbl

[7] E.H. Lieb and M. Loss, Stability of Coulomb systems with magnetic fields: II. The many-electron atom and the one-electron molecule, Commun. Math. Phys. 104, 271-282 (1986). | MR | Zbl

[8] E.H. Lieb and W.E. Thirring, Bounds for the kinetic energy of fermions which proves the stability of matter,Phys. Rev. Lett. 35, 687-689 (1975). Errata 35, 1116 (1975).

[9] E.H. Lieb and W.E. Thirring, "Inequalities for the moments of the eigenvalues of the Schrödinger equation and their relation to Sobolev inequalities in studies in Mathematical Physics" (E. Lieb, B. Simon, A. Wightman eds.) Princeton University Press, 1976. | Zbl

[10] E.H. Lieb and W.E. Thirring, Gravitational collapse in quantum mechanics with relativistic kinetic energy, Ann. of Phys. (NY) 155, 494-512 (1984). | MR

[11] G.V. Rosenbljum, Distribution of the discrete spectrum of singular differential operators. Dokl. Aka. Nauk SSSR 202, 1012-1015 (1972). (MR 45 # 4216). The details are given in Izv. Vyss. Ucebn. Zaved. Matem. 164 75-86 (1976). [English trans. Sov. Math. (Iz VUZ) 20, 63-71 (1976).] | MR | Zbl