4 papers
On the p-torsional rigidity of compact metric graphs: a sharp Kohler--Jobin inequality
Sedef Özcan
We investigate the -torsional rigidity for the -Laplacian, , on compact connected metric graphs equipped with Dirichlet conditions on a nonempty set $\mathcal{V}^…
Optimal Spectral Inequality for the Higher-Dimensional Landau Operator
Sedef Özcan, Matthias Täufer
We prove optimal spectral inequalities for Landau operators in full space and in arbitrary dimension. Spectral inequalities are lower bounds on the L 2 -mass of functions in spectr…
Asymptotic Behavior of the Non-resonance Eigenvalues of the Fractional Schrödinger Operator with Neumann Condition
Sedef Karakiliç, Sedef Özcan
We present an analytical investigation of the asymptotic behavior of non-resonance eigenvalues for the fractional Schrödinger operator under homogeneous Neumann boundary conditions…
Torsional Rigidity on Metric Graphs with Delta-Vertex Conditions
Sedef Özcan, Matthias Täufer
We investigate the torsion function or landscape function and its integral, the torsional rigidity, of Laplacians on metric graphs subject to -vertex conditions. A variational c…