On the Laplace operator penalized by mean curvature

Communications in Mathematical Physics

Volumn 195, Issue 3, 1998, Pages 643-650

  Harrell II, Evans M ^a   Loss, Michael ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032388772     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050406     Document Type: Article

References (11)

1. Alikakos, N.D.: Private communication
2. Alikakos, N.D. and Fusco, G.: The spectrum of the Cahn-Hilliard operator for generic interface in higher space dimensions. Indiana U. Math. J. 4, 637-674 (1993)
3. Birman, M.S.: The spectrum of singular boundary problems. Mat. Sbornik 55, 125-174 (1961) (Am. Math. Soc. Trans. 53, 23-80 (1966))
4. Birman, M.S.: The spectrum of singular boundary problems. Mat. Sbornik 55, 125-174 (1961) (Am. Math. Soc. Trans. 53, 23-80 (1966))
5. Harrell II, E.M.: On the second eigenvalue of the Laplace operator penalized by curvature, J. Diff. Geom. and Appl. 6, 397-400 (1996)
6. Hersch, J.: Quatre propriétés isopérimetriques de membranes sphériques homogènes. C.R. Acad. Sci. Paris, sér A-B 270, A1645-1648 (1970)
7. Papanicolaou, V.G.: The second periodic eigenvalue and the Alikakos-Fusco conjecture: J. Diff. Eqns. 130, 321-332 (1996)
8. Reed, M. and Simon, B.: Methods of modern mathematical physics, II: Fourier analysis, self-adjointness. New York: Academic Press, 1975, p. 162
9. Schwinger, J.: On the bound states of a given potential. Proc. Nat. Acad. Sci. U.S.A. 47, 122-129 (1961)
10. Simon, B.: On the number of bound states of two body Schröedinger operators - A review. In: Studies in mathematical physics, E. H. Lieb, B. Simon, A. S. Wightman eds. Princeton, NJ: Princeton Univ. Press, 1976, pp. 305-326
11. Urakawa, H.: On the least positive eigenvalue of the Laplacian for compact group manifolds. J. Math. Soc. Japan 31, 209-226 (1979)