Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 114, pp. 1-21

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

Author: Marcone C. Pereira (Univ. de Sao Paulo, Brazil)

Abstract: 
 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.
 
Submitted April 8, 2004. Published September 29, 2004.
Math Subject Classifications: 35B20, 35J40, 58D19.
Key Words: Generic properties; perturbation of the boundary; bilaplacian.