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Volumn 6, Issue 4, 1996, Pages 397-400

On the second eigenvalue of the Laplace operator penalized by curvature

Author keywords

Schr dinger operator; SPectral geometry; Sphere

Indexed keywords


EID: 0030519862     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0926-2245(96)00033-2     Document Type: Article
Times cited : (10)

References (15)
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    • Alikakos, N.D.1    Fusco, G.2
  • 3
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    • Slow dynamics for the Cahn-Hilliard equation in higher space dimensions. Part I: Spectral estimates
    • to appear
    • [3] N.D. Alikakos and G. Fusco, Slow dynamics for the Cahn-Hilliard equation in higher space dimensions. Part I: Spectral estimates, Commun. in PDE, to appear.
    • Commun. in PDE
    • Alikakos, N.D.1    Fusco, G.2
  • 5
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    • A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
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    • (1979) Acta Metall. , vol.27 , pp. 1084-1095
    • Allen, S.M.1    Cahn, J.W.2
  • 6
    • 84966242444 scopus 로고
    • A characterization of the 2-sphere by eigenfunctions
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    • Cheng, S.-Y.1
  • 7
    • 0003287060 scopus 로고
    • Heat kernels and spectral theory
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    • (1989) Cambridge Tracts in Mathematics , vol.92
    • Davies, E.B.1
  • 8
    • 0001005571 scopus 로고
    • Quatre propriétés isopérimetriques de membranes sphériques homogènes
    • [8] J. Hersch, Quatre propriétés isopérimetriques de membranes sphériques homogènes, C.R. Acad. Sci. Paris, sér A-B 270 (1970) A1645-1648.
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    • Hersch, J.1
  • 9
    • 84972493979 scopus 로고
    • Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
    • [9] T. Ilmanen, Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature, J. Diff. Geom. 38 (1993) 417-461.
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    • Ilmanen, T.1
  • 10
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    • Spherical harmonics
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    • (1966) Lecture Notes in Math. , vol.17
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  • 14
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    • On the least positive eigenvalue of the Laplacian for compact group manifolds
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  • 15
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    • Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds
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    • (1980) Ann. Scuola Norm. Sup. Pisa , vol.17 , Issue.4 , pp. 55-63
    • Yang, P.1    Yau, S.-T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.