From PDE's to Geometry: a new path towards the Minkowski Inequality

The Beris-Edward model for liquid crystals with absence of flow

On the convex components of a set

On modified quasilinear Schrödinger equations: a variational approach

Curvature varifolds and biological membranes

The first eigenvalue of the (fractional) Dirichlet-Laplacian vs. the inradius.

A comparison principle for the Lane-Emden equation and applications to geometric estimates

Nonlinear Schrödinger ground states on metric graphs

Distributional fractional Sobolev and BV spaces

Free boundary regularity in the one-phase Stefan problem: a recent perturbative approach