favicon Frontiers in Mathematical Sciences
7th Conference
University of Isfahan - January 1-3, 2020
Convex functional and the stratification of the singular set of their stationary points
Zahra Sinaei, University of Massachusetts Amherst
Date, Time, and Venue:  Wednesday, January 1 | 09:45-10:30 | Hall 2
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.
University of Isfahan IPM-Isfahan National Elits Foundation Iran National Science Foundation