Geodesic
Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator
Electronic Journal of Differential Equations, Tome 2004 (2004).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this work we show that the eigenvalues of the Dirichlet problem for the Bilaplacian are generically simple in the set of $C^4$-regular regions.
Classification : 35B20, 35J40, 58D19
Keywords: generic properties, perturbation of the boundary, bilaplacian 
@article{EJDE_2004__2004__a170,
     author = {Pereira, Marcone C.},
     title = {Generic simplicity of eigenvalues for a {Dirichlet} problem of the bilaplacian operator},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a170/}
}
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Pereira, Marcone C. Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator. Electronic Journal of Differential Equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a170/