Dominik Schlagenhauf

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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.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

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