3 papers
math.AP2026
On the Hersch-Weinberger inequality in higher dimensions
T. V. Anoop, Vladimir Bobkov, Mrityunjoy Ghosh +1
We investigate a reverse Faber-Krahn type inequality for the Robin Laplacian in a bounded smooth domain whose boundary has two connected components. We pro…
math.AP2025
Reverse Faber-Krahn inequality for planar doubly connected domains
T. V. Anoop, Vladimir Bobkov, Mrityunjoy Ghosh
We prove that among all doubly connected and elastically supported planar membranes with prescribed values of the area and the lengths of the inner and outer boundaries…
math.AP2024
Neumann domains of planar analytic eigenfunctions
T. V. Anoop, Vladimir Bobkov, Mrityunjoy Ghosh
Along with the partition of a planar bounded domain by the nodal set of a fixed eigenfunction of the Laplace operator in , one can consider another natural partition of $Î…