Lobo-Hidalgo, Miguel; Sanchez-Palencia, Enrique Sur certaines propriétés spectrales des perturbations du domaine dans les problèmes aux limites. (French) Zbl 0422.35065 Commun. Partial Differ. Equations 4, 1085-1098 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 14 Documents MSC: 35P99 Spectral theory and eigenvalue problems for partial differential equations 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 35B20 Perturbations in context of PDEs Keywords:perturbation eigenvalue; Neumann problem for the Laplacian; spectral family × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Babushka I., Czech. Math. J. 15 pp 169– (1965) [2] Beale J. T., Comm. Pure Appl. Math. 26 pp 549– (1973) · Zbl 0254.35094 · doi:10.1002/cpa.3160260408 [3] Courant R., Methods of Mathematical Physics. I. (1953) · Zbl 0051.28802 [4] Kato T., Perturbation Theory for Linear Operators (1966) · Zbl 0148.12601 · doi:10.1007/978-3-642-53393-8 [5] Lions J. L., Problèmes aux limites non homogènes et applications. I. (1968) · Zbl 0235.65074 [6] Necas J., Les méthodes directes en théorie des équations elliptiques (1967) [7] Osserman R., Report of the Math. Inst. Univ. (1977) [8] Schwartz L., Théorie des distributions (1966) [9] Stummel F., Math. Zeit. 120 pp 231– (1971) · Zbl 0209.15502 · doi:10.1007/BF01117498 [10] Stummel F., Lect. Notes Math. 503 pp 110– (1976) · doi:10.1007/BFb0088748 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.