Calculus of Variations and Geometric Measure Theory

D. Bucur - I. FragalĂ 

On the honeycomb conjecture for Robin Laplacian eigenvalues

created by bucur on 06 Jun 2017
modified on 29 Jun 2017



Inserted: 6 jun 2017
Last Updated: 29 jun 2017

Year: 2017


We prove that the optimal cluster problem for the sum of the first Robin eigenvalues of the Laplacian, in the limit of a large number of convex cells, is asymptotically solved by (the Cheeger sets of) the honeycomb of regular hexagons. The same result is established for the Robin torsional rigidity.