Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin Laplacian

Author:

Simão Antunes Pedro Ricardo,Freitas Pedro,Kennedy James Bernard

Publisher

EDP Sciences

Subject

Computational Mathematics,Control and Optimization,Control and Systems Engineering

Reference28 articles.

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2. P.R.S. Antunes and P. Freitas, Numerical optimization of low eigenvalues of the Dirichlet and Neumann Laplacians.J. Optim. Theory Appl.154(2012). DOI: 10.1007/s10957-011-9983-3.

3. Bossel M.-H., Membranes élastiquement liées : extension du théorème de Rayleigh–Faber–Krahn et de l’inégalité de Cheeger.C. R. Acad. Sci. Paris Sér. I Math.302(1986) 47–50.

4. D. Bucur, Minimization of thekth eigenvalue of the Dirichlet Laplacian. Preprint (2012).

5. Bucur D. and Daners D., An alternative approach to the Faber-Krahn inequality for Robin problems.Calc. Var. Partial Differ. Equ.37(2010) 75–86.

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