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Volumn 50, Issue 8, 2007, Pages 1078-1086

Estimates for eigenvalues of Laplacian operator with any order

Author keywords

Dirichlet problem; Eigenvalue estimate; Laplacian operator

Indexed keywords


EID: 34548432536     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11425-007-0068-6     Document Type: Article
Times cited : (11)

References (8)
  • 1
    • 33744773463 scopus 로고    scopus 로고
    • Inequalities for eigenvalues of a clamped plate problem
    • 6
    • Cheng Q M, Yang H C. Inequalities for eigenvalues of a clamped plate problem. Trans Amer Math Soc, 358(6): 2625-2635 (2005)
    • (2005) Trans Amer Math Soc , vol.358 , pp. 2625-2635
    • Cheng, Q.M.1    Yang, H.C.2
  • 2
    • 0001010179 scopus 로고
    • On the ratio of consecutive eigenvalues
    • Payne L E, Polya G, Weinberger H F. On the ratio of consecutive eigenvalues. J Math Phys, 35: 289-298 (1956)
    • (1956) J Math Phys , vol.35 , pp. 289-298
    • Payne, L.E.1    Polya, G.2    Weinberger, H.F.3
  • 3
    • 84972557166 scopus 로고
    • Inequalities for eigenvalues of the biharmonic operator
    • Hile G N, Yeh R Z. Inequalities for eigenvalues of the biharmonic operator. Pacific J Math, 112: 115-133 (1984)
    • (1984) Pacific J Math , vol.112 , pp. 115-133
    • Hile, G.N.1    Yeh, R.Z.2
  • 4
    • 0010463808 scopus 로고
    • Domain independent upper bounds for eigenvalues of elliptic operator
    • Hook S M. Domain independent upper bounds for eigenvalues of elliptic operator. Trans Amer Math Soc, 318: 615-642 (1990)
    • (1990) Trans Amer Math Soc , vol.318 , pp. 615-642
    • Hook, S.M.1
  • 5
    • 0012664242 scopus 로고
    • Estimates for discrete spectrum of Laplacian operator with any order
    • Chen Z C, Qian C L. Estimates for discrete spectrum of Laplacian operator with any order. J China Univ Sci Tech, 20: 259-266 (1990)
    • (1990) J China Univ Sci Tech , vol.20 , pp. 259-266
    • Chen, Z.C.1    Qian, C.L.2
  • 7
    • 0000582072 scopus 로고
    • Inequalities for eigenvalues of the Laplacian
    • Hile G N, Protter M H. Inequalities for eigenvalues of the Laplacian. Indiana Univ Math J, 29: 523-528 (1980)
    • (1980) Indiana Univ Math J , vol.29 , pp. 523-528
    • Hile, G.N.1    Protter, M.H.2
  • 8
    • 0036475162 scopus 로고    scopus 로고
    • Universal eigenvalue bounds of Payne-Polya-Weinberger, Hile-Protter and Yang H C
    • Ashbaugh M S. Universal eigenvalue bounds of Payne-Polya-Weinberger, Hile-Protter and Yang H C. Proc Indian Acad Sci Math Sci, 112: 3-30 (2002)
    • (2002) Proc Indian Acad Sci Math Sci , vol.112 , pp. 3-30
    • Ashbaugh, M.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.