# SEMINARI DI CALCOLO DELLE VARIAZIONI

## An exact self-similar solution to a branched transport problem

## A variational approach to nonlocal curvature motions and to the crystalline mean curvature flow

## On the quantitative Bossel-Daners Inequality

## Optimizing the fractional power of a Diffusion operator

## TBA

## Scalar conservation laws with discontinuous flux

## Numerical study of 1D optimal structures

## Some results on focusing Mean Field Games

## Anisotropic energies in Geometric Measure Theory.

Abstract.

We present our recent extension of Allard’s celebrated rectifiability theorem to the setting of varifolds with locally bounded first variation with respect to an anisotropic integrand. In partic- ular, we identify a necessary and sufficient condition on the integrand to obtain the rectifiability of every d-dimensional varifold with locally bounded first variation and positive d-dimensional density. In codimension one, this condition is shown to be equivalent to the strict convexity of the integrand with respect to the tangent plane.