Sharp bounds for eigenvalues of triangles
| dc.creator | Siudeja, B. | |
| dc.date | 2006-03-27 | |
| dc.date.accessioned | 2026-07-07T07:07:16Z | |
| dc.date.available | 2026-07-07T07:07:16Z | |
| dc.description | We prove that the first eigenvalue of the Dirichlet Laplacian for a triangle in the plane is bounded above by $π^2 L^2\over 9A^2$, where $L$ is the perimeter and $A$ is the area of this triangle. We show that the \mbox{constant 9} is optimal and that the optimal constant for the lower bound of the same form is 16. This gives a positive answer to a conjecture made by P. Freitas. | |
| dc.description | preprint | |
| dc.identifier | https://arxiv.org/abs/math/0603630 | |
| dc.identifier | http://arxiv.org/abs/math/0603630 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110327 | |
| dc.subject | Spectral Theory | |
| dc.subject | 35P15 | |
| dc.title | Sharp bounds for eigenvalues of triangles | |
| dc.type | text |