### On functionals involving the torsional rigidity related to some classes of nonlinear operators

Analysis and Geometry Seminar

3rd October 2017, 4:00 pm – 5:00 pm

Howard House, 2nd Floor Seminar Room

In this seminar I will describe some recent results obtained in collaboration with F. Della Pietra and S. Guarino Lo Bianco from University of Naples. We study optimal estimates for two functionals involving the anisotropic *p*-torsional rigidity *T _{p}*(Ω), 1 <

*p*<+∞. More precisely, we consider

Φ(Ω)= (

*T*(Ω) ) / ( |Ω|

_{p}*M*(Ω) )

and

Ψ(Ω)= (

*T*(Ω) ) / ( |Ω| [

_{p}*R*(Ω)]

_{F}^{p/(p-1)}).

Here *M*(Ω) is the maximum of the stress function and *R _{F}*(Ω) the anisotropic inradius of Ω.

Note: Unusual time.

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