Timeline for First Dirichlet eigenvalue on regular polygons
Current License: CC BY-SA 4.0
4 events
when toggle format | what | by | license | comment | |
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Dec 10 at 13:30 | comment | added | Beni Bogosel | @guest61: the estimate you want holds in the other sense, as indicated in my answer. | |
May 24, 2022 at 14:23 | comment | added | guest61 | Many thanks for the detailed answer and the counter example. Unfortunately I need the constant $1$ and the power $2$. For the disk the desired estimate holds with equality. Maybe there is some hope that it holds for a regular $N$ -polygon for $N$ large enough. Otherwise the reverse inequality may have a chance for all $N$. | |
May 24, 2022 at 12:32 | history | edited | Denis Serre | CC BY-SA 4.0 |
added 528 characters in body
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May 24, 2022 at 12:13 | history | answered | Denis Serre | CC BY-SA 4.0 |