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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.AP2025
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 reverse…