Dominik Schlagenhauf

collaborators

4 papers

math.AP2026

A Discontinuous Solution of the Critical n-Laplace System with Antisymmetric Potential

Dominik Schlagenhauf

Let $n > 2$ . We construct a map $U \in W^{1, n} (B^{n}, R^{n + 2})$ that is discontinuous at the origin and smooth on the punctured ball $B^{n} ∖ {0}$ , together with an anti…

math.DG2026

Improved Morse Index Stability for Sequences of Harmonic Maps from Degenerating Riemann Surfaces

Francesca Da Lio, Tristan Rivière, Dominik Schlagenhauf

We study the stability of the extended Morse index, defined as the number of negative and zero eigenvalues of the Jacobi operator, for sequences of harmonic maps on degenerating Ri…

math.AP2025

Stability of the Morse Index for the $p$ -harmonic Approximation of Harmonic Maps into Homogeneous Spaces

Dominik Schlagenhauf

In the joint work of the author with Da Lio and Rivière (Morse Index Stability for Sequences of Sacks-Uhlenbeck Maps into a Sphere) we studied the stability of the Morse index for…

math.AP2025

Morse Index Stability for Sequences of Sacks-Uhlenbeck Maps into a Sphere

Francesca Da Lio, Tristan Rivière, Dominik Schlagenhauf

In this paper we consider sequences of $p$ -harmonic maps, $p > 2$ , from a closed Riemann surface $Σ$ into the $n$ -dimensional sphere $S^{n}$ with uniform bounded energy. These…

A Discontinuous Solution of the Critical n-Laplace System with Antisymmetric Potential

Improved Morse Index Stability for Sequences of Harmonic Maps from Degenerating Riemann Surfaces

Stability of the Morse Index for the p-harmonic Approximation of Harmonic Maps into Homogeneous Spaces

Morse Index Stability for Sequences of Sacks-Uhlenbeck Maps into a Sphere

Stability of the Morse Index for the $p$ -harmonic Approximation of Harmonic Maps into Homogeneous Spaces