Conference on Calculus of Variations in Lille - 3rd edition - July 4-6 2022

Curvature functionals for surfaces with fractional regularity

Jul 4, 2022, 11:00 AM

30m

M2 building, Cité Scientifique - Meeting room, 1st floor (Laboratoire Paul Painlevé)

Speaker

Reza Pakzad (University of Pittsburgh )

Description

The curvature functionals (such as the Willmore functional) are usually defined under $W^{2,2}$ regularity assumptions on the given surface. We will explain how this assumption could be relaxed to the fractional Sobolev setting $W^{1+s,2/s}$ for $s>1/2$, and will discuss the related problematics of a fractional variational plate model in nonlinear elasticity.