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Proceedings of the American Mathematical Society
Volumn 131, Issue 2, 2003, Pages 631-636
A lower bound for sums of eigenvalues of the Laplacian
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EID: 0037319507     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-02-06834-X     Document Type: Conference Paper
Times cited : (68)
References (6)
  • 1
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    • MR 95j:58173
    • P. Kröger: Estimates for sums of Eigenvalues of the Laplacian, Jour. Funct. Anal. 126 (1994), 217-227. MR 95j:58173
    • (1994) Jour. Funct. Anal. , vol.126 , pp. 217-227
    • Kröger, P.1
  • 2
    • 0000538029 scopus 로고
    • On the Schrödinger equation and the eigenvalue problem
    • MR 84k:58225
    • P. Li, S.T.Yau: On the Schrödinger equation and the eigenvalue problem, Comm. Math. Phys. 88 (1983), 309-318. MR 84k:58225
    • (1983) Comm. Math. Phys. , vol.88 , pp. 309-318
    • Li, P.1    Yau, S.T.2
  • 3
    • 0000901763 scopus 로고
    • The number of bound states of one-body Schröndinger operators and the Weyl problem
    • MR 821:35134
    • E.Lieb: The number of bound states of one-body Schröndinger operators and the Weyl problem, Proc. Sym. Pure Math. 36 (1980), 241-252. MR 821:35134
    • (1980) Proc. Sym. Pure Math. , vol.36 , pp. 241-252
    • Lieb, E.1
  • 4
    • 84963097105 scopus 로고
    • On the eigenvalues of vibrating membranes
    • MR 23:B2256
    • G.Pölya: On the eigenvalues of vibrating membranes, Proc. London Math. Soc. (3) 11 (1961), 419-433. MR 23:B2256
    • (1961) Proc. London Math. Soc. , vol.11 , Issue.3 , pp. 419-433
    • Pölya, G.1
  • 5
    • 84968487534 scopus 로고
    • Weak trace ideals and the number of bound states of Schrödinger operators
    • MR 54:11109
    • B.Simon: Weak trace ideals and the number of bound states of Schrödinger operators, Trans. Amer. Math. Soc. 224 (1976), 367-380. MR 54:11109
    • (1976) Trans. Amer. Math. Soc. , vol.224 , pp. 367-380
    • Simon, B.1
  • 6
    • 0030577890 scopus 로고    scopus 로고
    • Estimates for sums of eigenvalues for domains in homogeneous spaces
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    • R.S.Strichartz: Estimates for sums of eigenvalues for domains in homogeneous spaces. Jour. Funct. Anal. 137 (1996), 152-190. MR 97g:58172
    • (1996) Jour. Funct. Anal. , vol.137 , pp. 152-190
    • Strichartz, R.S.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.