Jonas Hirsch

activity

20232026

collaborators

6 papers

math.DG2026

Stationary varifolds with singularities II

Camillo De Lellis, Jonas Hirsch, Zachary Lihn +1

For every dimension $m \geq 3$ , we show the existence of an open set $U \subset R^{m + 1}$ , a smooth Riemannian metric $g$ on it, and an integral $m$ -dimensional stationary var…

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 $0$ of the singular set for $2$ -valued stationary hypercurrents

Jonas Hirsch, Luca Spolaor

We prove that the singular set of a multiplicity $2$ 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 $p$ -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…

math.DG2025

Stationary and stable varifolds with singularities

Camillo De Lellis, Jonas Hirsch, Luca Spolaor

We construct minimal $m$ -dimensional immersions in $R^{m + 1}$ , equipped with a $C^{1, α}$ metric, $α \in [0, 1)$ , with a sequence of \emph{catenoidal necks} or \emph{floating disks}…

math.DG2023

Dimension of the singular set for $2$ -valued stationary Lipschitz graphs

Jonas Hirsch, Luca Spolaor

We prove that the singular set of a $2$ -valued Lipschitz graph that is stationary for the area is of codimension $1$ .

Stationary varifolds with singularities II

A note on the a.e. second-order differentiability of rank-one convex functions

Measure 0 of the singular set for 2-valued stationary hypercurrents

Nonunique tangent maps at isolated singularities of minimizing p-harmonic maps

Stationary and stable varifolds with singularities

Dimension of the singular set for 2-valued stationary Lipschitz graphs

Measure $0$ of the singular set for $2$ -valued stationary hypercurrents

Nonunique tangent maps at isolated singularities of minimizing $p$ -harmonic maps

Dimension of the singular set for $2$ -valued stationary Lipschitz graphs