Frontiers in Mathematical Sciences
7th Conference University of Isfahan  January 13, 2020 
Title:
Convex functional and the stratification of the singular set of
their stationary points
Speaker:
Zahra Sinaei, University of Massachusetts Amherst
Date, Time, and Venue: Wednesday, January 1  09:4510:30  Hall 2
Abstract:
In this talk, I discuss partial regularity of stationary
solutions and minimizers $u$ from a set $\Omega\subset \hspace{2pt}\mathbb{R}^n$ to a Riemannian
manifold $N$, for the functional $\int_\Omega F(x,u,\nabla u^2) dx.$ The
integrand $F$ is convex and satisfies some ellipticity, boundedness and
integrability assumptions. Using the idea of quantitative stratification I
show that the $k$th strata of the singular set of such solutions are
$k$rectifiable.
