Marcone C. Pereira
In this work we show that the eigenvalues of the Dirichlet problem for the Bilaplacian are generically simple in the set of -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.
An addendum was attached on June 30, 2006. The author corrects 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 (page 14), $Q$ in Lemma 5.4 (page 16), and $F$ in Theorem 5.5 (page 19).
Show me the PDF file (309K), TEX file, and other files for this article.
| Marcone Correa Pereira |
Instituto de Matemática e Estatística
Universidade de São Paulo, São Paulo, Brazil
Return to the EJDE web page