Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator

Pereira, Marcone2021-05-132021-05-132004-09-29Pereira, M. C. (2004). Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator. Electronic Journal of Differential Equations, 2004(114), pp. 1-21.1072-6691https://hdl.handle.net/10877/13534Addendum: Posted June 30, 2006. The author wants to correct some typing mistakes found in Section 5. The open interval (−M, 0) must be replaced by the closed interval [−M, 0] in the following definitions: G in Lemma 5.3, Q in Lemma 5.4, and F in Theorem 5.5. This condition is used in their proofs.In this work we show that the eigenvalues of the Dirichlet problem for the Bilaplacian are generically simple in the set of C4-regular regions.Text21 pages1 file (.pdf)enAttribution 4.0 InternationalGeneric propertiesPerturbation of the boundaryBilaplacianGeneric simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operatorArticle