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Sharp estimates for the anisotropic torsional rigidity and the anisotropic principal frequency of a convex domain

Michele Marini
Institution: 
SISSA
Location: 
A-133
Schedule: 
Monday, December 19, 2016 - 10:00
Abstract: 

Some classical results by G. Polya, J. Hersch, E. Makai and M. H. Protter provide sharp upper and lower bounds for the torsional rigidity and the first eigenvalue of the Dirichlet Laplacian of a convex domain, in terms of the volume and the inradius. We will consider the h-anisotropic torsional rigidity and the h-anisotropic principal frequency and we shall prove sharp estimates, generalizing the known ones, involving the volume and a suitable concept of anisotropic inradius.

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