Eigenvalue variations for the Neumann problem

Applied Mathematics Letters

Volumn 14, Issue 1, 2001, Pages 39-43

  Zanger, D Z ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Eigenvalue problem; Laplace operator; Neumann condition; Perturbations

Indexed keywords

EID: 0041866339     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(00)00109-9     Document Type: Article

References (5)

1. P.R. Garabedian and M. Schiffer, Variational problems in the theory of elliptic partial differential equations, Journal of Rational Mechanics and Analysis 2, 137-171 (1953).
2. J. Hadamard, Mémoire sur le problème d'analyse relatif à l'équilibre des plaques élastiques encastrées, Mémoires Présentés Par Divers Savants À L'Académie des Sciences de L'Institut National de France, 33 (4), 1-126 (1908).
3. D.D. Joseph, Parameter and domain dependence of eigenvalues of elliptic partial differential equations, Archive for Rational Mechanics and Analysis 24, 325-351 (1967).
4. I. Chavel, Riemannian Geometry: A Modern Introduction, Cambridge Tracts in Mathematics, #108, Cambridge University Press, (1993).
5. nd edition, Springer-Verlag, (1990).