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math.AP2026
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}^…
math.AP2026
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…