@article{BSMF_1985__113__211_0, author = {Besson, G\'erard}, title = {Comportement asymptotique des valeurs propres du laplacien dans un domaine avec un trou}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, volume = {113}, year = {1985}, pages = {211-230}, doi = {10.24033/bsmf.2028}, mrnumber = {87d:58143}, zbl = {0577.58033}, language = {fr}, url = {http://dml.mathdoc.fr/item/BSMF_1985__113__211_0} }
Besson, Gérard. Comportement asymptotique des valeurs propres du laplacien dans un domaine avec un trou. Bulletin de la Société Mathématique de France, Tome 113 (1985) pp. 211-230. doi : 10.24033/bsmf.2028. http://gdmltest.u-ga.fr/item/BSMF_1985__113__211_0/
[A] Nonlinear Analysis on Manifolds. Monge-Ampère equations, Grundlehren der Mathematischen Wissenschaften, 252, Springer-Verlag. | Zbl 0512.53044
,[B-G] | MR 84k:58214
et , C. R. Acad. Sc., t. 297, n° 3, p. 185-188.[CV] Pseudo-Laplacien I. Annales de l'Institut Fourier de Grenoble, t. 32, fasc. 3, 1982, p. 275-286. | Numdam | MR 84k:58221 | Zbl 0489.58034
,[C-F] Spectra of domain in compact manifold, J. Funct. Anal., vol. 30, n° 2, 1978, p. 198-222. | MR 80c:58027 | Zbl 0392.58016
and ,[D] Thèse de 3e cycle, Institut Fourier, Université de Grenoble-I.
,[K] A course in differential geometry, Graduate texts in mathematics, 51, Springer-Verlag. | MR 57 #13702 | Zbl 0366.53001
,[M-N-P] | Zbl 0502.35017
, and , Math. U.S.S.R. Sbornik, vol. 44, n° 2, 1983, p. 167-194.[R-S] Methods of modern mathematical physics. I. Functional analysis, Academic Press, New York, 1972. | MR 58 #12429a | Zbl 0242.46001
and ,[R-T] Potential and scattering theory on widly perturbed domain, J. Funct. Anal., vol. 18, 1975, p. 27-29. | MR 51 #13476 | Zbl 0293.35056
and ,[O 1] Surgery of domain and the Green's function of the Laplacian, Proc. Japan, Acad., vol. 56 A, 1980, p. 459-461. | MR 82c:58056 | Zbl 0468.35033
,[O 2] Singular Hadamard's variation of domains and eigenvalues of the Laplacian, Ibid., vol. 56 A, 1980, p. 306-310. | MR 83g:49062a | Zbl 0483.35063
,[O 3] Singular variation of domains and eigenvalues of the Laplacian, Ibid., vol. 57 A, n 5, 1981, p. 242-246. | MR 83g:49062b | Zbl 0509.35060
,[O 4] Singular variation of domains and eigenvalues of the Laplacian, Duke mathematical journal, vol. 48, 1981, p. 767-778. | MR 86k:35117 | Zbl 0483.35064
,[O 5] Singular Hadamard Variation 2, Proc. Japan Acad., vol. 57 A, 1981. | MR 83g:49062b | Zbl 0509.35060
,[O 6] An asymptotic formula for the eigenvalues of the Laplacian in a Domain with a small hole, Ibid., vol. 58 A, 1982. | MR 83j:58117 | Zbl 0516.35015
,