Extremal eigenvalues of the Laplacian on Euclidean domains and closed surfaces
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00209-014-1325-3.pdf
Reference31 articles.
1. Anné, C.: Spectre du laplacien et écrasement d’anses. Ann. Sci. École Norm. Sup. (4) 20(2), 271–280 (1987)
2. Antunes, P.R.S., Freitas, P.: Numerical optimization of low eigenvalues of the Dirichlet and Neumann Laplacians. J. Optim. Theory Appl. 154(1), 235–257 (2012)
3. Berezin, F.A.: Covariant and contravariant symbols of operators. Izv. Akad. Nauk SSSR Ser. Mat. 36, 1134–1167 (1972)
4. Bucur, D.: Minimization of the $$k$$ k -th eigenvalue of the Dirichlet Laplacian. Arch. Ration. Mech. Anal. 206(3), 1073–1083 (2012)
5. Colbois, B., Dryden, E.B., El Soufi, A.: Bounding the eigenvalues of the Laplace-Beltrami operator on compact submanifolds. Bull. Lond. Math. Soc. 42(1), 96–108 (2010)
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