On Blaschke–Santaló diagrams for the torsional rigidity and the first Dirichlet eigenvalue

Author:

Lucardesi IlariaORCID,Zucco DavideORCID

Funder

Istituto Nazionale di Alta Matematica “Francesco Severi”

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference31 articles.

1. Antunes, P., Bogosel, B.: Parametric shape optimization using the support function. preprint (2018). arXiv:1809.00254

2. Antunes, P., Henrot, A.: On the range of the first two Dirichlet and Neumann eigenvalues of the Laplacian. Proc. R. Soc. Lond. Ser. A 467, 1577–1603 (2011)

3. Bianchini, C., Henrot, A., Takahashi, T.: Elastic energy of a convex body. Math. Nachr. 289(5–6), 546–574 (2016)

4. Blaschke, W.: Eine Frage über Konvexe Körper. Jahresber. Deutsch. Math.-Ver. 25, 121–125 (1916)

5. Bogosel, B., Henrot, A., Lucardesi, I.: Minimization of the eigenvalues of the Dirichlet–Laplacian with a diameter constraint. SIAM J. Math. Anal. 50, 5337–5361 (2018)

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