Shape optimization problems for eigenvalues of elliptic operators

Author:

Belhachmi Z.,Bucur D.,Buttazzo G.,Sac-Epée J.-M.

Publisher

Wiley

Subject

Applied Mathematics,Computational Mechanics

Reference29 articles.

1. Open problems on eigenvalues of the Laplacian. In: Analytic and geometric inequalities and applications, Math. Appl. 478, pp. 13–28 (Kluwer Academic Publishers, Dordrecht, 1999).

2. Isoperimetric and universal inequalities for eigenvalues. Spectral theory and geometry (Edinburgh, 1998), London Math. Soc. Lecture Note Ser., 273, pp. 95–139 (Cambridge University Press, Cambridge, 1999).

3. On Rayleigh’s conjecture for the clamped plate and its generalization to three dimensions

4. On the isoperimetric inequality for the buckling of a clamped plate

5. , and , Finite element approximation of the Neumann eigenvalue problem in domains with multiple cracks, Preprint LMAM, 2004-05.

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