3 papers
math.AP2025
A note on the a.e. second-order differentiability of rank-one convex functions
Jonas Hirsch
In the Euclidean setting, the well-known Alexandrov theorem states that convex functions are twice differentiable almost everywhere. In this note, we extend this theorem to rank-on…
math.DG2025
Measure of the singular set for -valued stationary hypercurrents
Jonas Hirsch, Luca Spolaor
We prove that the singular set of a multiplicity integral hypercurrent that is stationary in the sense of varifolds has a singular set of measure zero.
math.AP2025
Nonunique tangent maps at isolated singularities of minimizing -harmonic maps
Jonas Hirsch
The analysis of ``tangent maps'' at singular points of energy minimizing maps plays an important role in our understanding of the fine structure of the singular set. This note pres…