5 papers
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…
On the weighted logarithmic potential operator
T. V. Anoop, Jiya Rose Johnson
For a bounded open set with , and for positive continuous functions on , we consider the weighted eigenvalue problem \begin{equ…
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…
Reverse Faber-Krahn inequalities for the Logarithmic potential operator
T. V. Anoop, Jiya Rose Johnson
For a bounded open set we consider the largest eigenvalue of the Logarithmic potential operator . If , we prove rev…
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…