18 citations · 35 across the 10 of their papers we have counts for
5 papers · 1 filter
Nearly radial Neumann eigenfunctions on symmetric domains
Nilima Nigam, Bartłomiej Siudeja, Benjamin Young
We study the existence of Neumann eigenfunctions which do not change sign on the boundary of some special domains. We show that eigenfunctions which are strictly positive on the bo…
On mixed Dirichlet-Neumann eigenvalues of triangles
Bartłomiej Siudeja
We order lowest mixed Dirichlet-Neumann eigenvalues of right triangles according to which sides we apply the Dirichlet conditions. It is generally true that Dirichlet condition on…
Generalized tight p-frames and spectral bounds for Laplace-like operators
Bartlomiej Siudeja
We prove sharp upper bounds for sums of eigenvalues (and other spectral functionals) of Laplace-like operators, including bi-Laplacian and fractional Laplacian. We show that among…
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…
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 , where is the perimeter and is the area of…