Spectral and variational problems on multiconnected strips

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 325, Issue 4, 1997, Pages 377-382

  Rubinstein, Jacob ^a   Schatzman, Michelle ^b  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b UNIVERSITÉ LYON 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031206529     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(97)85620-0     Document Type: Article

References (9)

1. Berger J. and Rubinstein J., 1995. Topology of the order parameter in the Little Parks experiment, Phys. Rev. Lett. 75, pp. 320-322.
2. Berger J. and Rubinstein J. Bifurcation and phase transitions in nonuniform superconducting rings, SIAM J. Appl. Math., to appear.
3. Carlin H. J. and Giordano A. B., 1964. Network Theory, Prentice Hall.
4. Carlson R. Eigenvalues of domains collapsing to graphs, preprint.
5. Colin de Verdière Y., 1986. Sur la multiplicité de la première valeur propre non nulle du Laplacien, Comment. Math. Helvetici, 61, pp. 254-270.
6. Pannetier B., 1991. Superconducting wire networks. In Quantum Coherence in Mesoscopic Systems (ed. B. Kramer) Plenum Press, pp. 457-484.
7. Rubinstein J. and Schatzman M. Asymptotics for thin superconducting rings, J. Math. Pure Appl., to appear.
8. Rubinstein J. and Schatzman M., 1997. On some variational problems in multiply connected thin strips, in preparation.
9. Schatzman M., 1996, On the eigenvalues and eigenvectors of the Laplace operator in a thin set with Neumann boundary condition, Applicable Analysis, 61, pp. 293-306.