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Journal of the European Mathematical Society
Volumn 10, Issue 4, 2008, Pages 1121-1126
Lieb-Thirring inequalities with improved constants
Author keywords

Lieb Thirring inequalities; Schr dinger operator; Sobolev inequalities
Indexed keywords

EID: 56649095675     PISSN: 14359855     EISSN: None     Source Type: Journal    
DOI: 10.4171/JEMS/142     Document Type: Article
Times cited : (70)
References (7)
  • 1
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    • MR 0598768
    • Aizenman, M., Lieb, E. H.: On semiclassical bounds for eigenvalues of Schrödinger operators. Phys. Lett. 66A, 427-429 (1978) MR 0598768
    • (1978) Phys. Lett , vol.66 A , pp. 427-429
    • Aizenman, M.1    Lieb, E.H.2
  • 2
    • 0034350172 scopus 로고    scopus 로고
    • A simple proof of a theorem by Laptev and Weidl
    • Zbl 0963.34077 MR 1764316
    • Benguria, R., Loss, M.: A simple proof of a theorem by Laptev and Weidl. Math. Res. Lett. 7, 195-203(2000) Zbl 0963.34077 MR 1764316
    • (2000) Math. Res. Lett , vol.7 , pp. 195-203
    • Benguria, R.1    Loss, M.2
  • 3
    • 0039251609 scopus 로고
    • A simple proof of the generalized Lieb-Thirring inequalities in one-space dimension
    • Zbl 0792.46021 MR 1135275
    • Eden, A., Foias, C: A simple proof of the generalized Lieb-Thirring inequalities in one-space dimension. J. Math. Anal. Appl. 162, 250-254 (1991) Zbl 0792.46021 MR 1135275
    • (1991) J. Math. Anal. Appl , vol.162 , pp. 250-254
    • Eden, A.1    Foias, C.2
  • 4
    • 33748086051 scopus 로고    scopus 로고
    • Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
    • Zbl pre05127098 MR 2260376
    • Frank, R. L., Laptev, A., Lieb, E. H., Seiringer, R.: Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. Lett. Math. Phys. 77, 309-316 (2006) Zbl pre05127098 MR 2260376
    • (2006) Lett. Math. Phys , vol.77 , pp. 309-316
    • Frank, R.L.1    Laptev, A.2    Lieb, E.H.3    Seiringer, R.4
  • 5
    • 0034360522 scopus 로고    scopus 로고
    • New bounds on the Lieb-Thirring constants
    • Zbl 1074.35569 MR 1760755
    • Hundertmark, D., Laptev, A., Weidl, T.: New bounds on the Lieb-Thirring constants. Invent. Math. 140, 693-704 (2000) Zbl 1074.35569 MR 1760755
    • (2000) Invent. Math , vol.140 , pp. 693-704
    • Hundertmark, D.1    Laptev, A.2    Weidl, T.3
  • 6
    • 0002983823 scopus 로고    scopus 로고
    • Sharp Lieb-Thirring inequalities in high dimensions
    • Zbl pre01541221 MR 1756570
    • Laptev, A., Weidl, T: Sharp Lieb-Thirring inequalities in high dimensions. Acta Math. 184, 87-111(2000) Zbl pre01541221 MR 1756570
    • (2000) Acta Math , vol.184 , pp. 87-111
    • Laptev, A.1    Weidl, T.2
  • 7
    • 56649095720 scopus 로고    scopus 로고
    • Lieb, E. H., Thirring, W.: Inequalities for the moments of the eigenvalues of the Schrödinger Hamiltonian and their relation to Sobolev inequalities. In: Studies in Math. Phys., Essays in Honor of Valentine Bargmann, Princeton, 269-303 (1976) Zbl 0342.35044
    • Lieb, E. H., Thirring, W.: Inequalities for the moments of the eigenvalues of the Schrödinger Hamiltonian and their relation to Sobolev inequalities. In: Studies in Math. Phys., Essays in Honor of Valentine Bargmann, Princeton, 269-303 (1976) Zbl 0342.35044

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.