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Volumn 22, Issue 1, 2012, Pages 107-135

Sharp Stability of Some Spectral Inequalities

Author keywords

isoperimetric inequalities; Krahn Szego inequality; Stability for eigenvalues; Szego double acute Weinberger inequality

Indexed keywords


EID: 84858863048     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-012-0148-9     Document Type: Review
Times cited : (43)

References (17)
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  • 2
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    • The sharp quantitative isoperimetric inequality
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    • Fusco, N.1    Maggi, F.2    Pratelli, A.3
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    • 70350026508 scopus 로고    scopus 로고
    • Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities
    • Fusco N., Maggi F., Pratelli A.: Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities. Ann. Sc. Norm. Super. Pisa Cl. Sci 8, 51-71 (2009).
    • (2009) Ann. Sc. Norm. Super. Pisa Cl. Sci , vol.8 , pp. 51-71
    • Fusco, N.1    Maggi, F.2    Pratelli, A.3
  • 10
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    • Hong, I.1
  • 12
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    • Krahn E.: Über Minimaleigenschaften der Krugel in drei un mehr Dimensionen. Acta Comm. Univ. Dorpat A 9, 1-44 (1926).
    • (1926) Acta Comm. Univ. Dorpat A , vol.9 , pp. 1-44
    • Krahn, E.1
  • 13
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    • Mathieusche Funktionen und Sphäroidfunktionen mit Anwendungen auf physikalische und technische Probleme (German), Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete
    • Springer-Verlag, Berlin-Göttingen-Heidelberg
    • J. Meixner, F. W. Schäfke, Mathieusche Funktionen und Sphäroidfunktionen mit Anwendungen auf physikalische und technische Probleme (German), Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Band LXXI. Springer-Verlag, Berlin-Göttingen-Heidelberg, 1954.
    • (1954) Band LXXI
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  • 14
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    • On the characteristic frequencies of a symmetric membrane
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    • Pólya, G.1
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    • Inequalities for certain eigenvalues of a membrane of given area
    • Szego{double acute} G.: Inequalities for certain eigenvalues of a membrane of given area. J. Rational Mech. Anal 3, 343-356 (1954).
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    • Szego, G.1
  • 16
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    • Eigenfrequencies of an elliptic membrane
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    • Weinberger, H.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.