B. Siudeja

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20062009

most citedIsoperimetric inequalities for eigenvalues of triangles

2 citations · 4 across the 4 of their papers we have counts for

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math.SP2007★ 2 cited

Isoperimetric inequalities for eigenvalues of triangles

Bartłomiej Siudeja

Lower bounds estimates are proved for the first eigenvalue for the Dirichlet Laplacian on arbitrary triangles using various symmetrization techniques. These results can viewed as a…

math.SP2006

Sharp bounds for eigenvalues of triangles

B. Siudeja

We prove that the first eigenvalue of the Dirichlet Laplacian for a triangle in the plane is bounded above by $\frac{π ^{2} L ^{2}}{9 A ^{2}}$ , where $L$ is the perimeter and $A$ is the area of…