Carolin Bayer

collaborators

2 papers

math.AP2026

Regularity and Rivière's $G L (m)$ -Gauge Construction for Elliptic Systems with Antisymmetric Potentials in Arbitrary Dimensions

Carolin Bayer

Let $1 \leq q \leq 2$ and denote by $2 \leq q^{'}$ its corresponding conjugate exponent. We prove the continuity of solutions $u \in W^{1, (\frac{n}{n - 1}, q^{'})} (B^{n}, R^{m})$ to the…

math.DG2025

Energy identity and no neck property for $ε$ -harmonic and $α$ -harmonic maps into homogeneous target manifolds

Carolin Bayer, Andrew M. Roberts

In this paper we show the energy identity and the no-neck property for $ε$ - and $α$ -harmonic maps with homogeneous target manifolds. To prove this in the $ε$ -ha…

Regularity and Rivière's GL(m)-Gauge Construction for Elliptic Systems with Antisymmetric Potentials in Arbitrary Dimensions

Energy identity and no neck property for ε-harmonic and α-harmonic maps into homogeneous target manifolds

Regularity and Rivière's $G L (m)$ -Gauge Construction for Elliptic Systems with Antisymmetric Potentials in Arbitrary Dimensions

Energy identity and no neck property for $ε$ -harmonic and $α$ -harmonic maps into homogeneous target manifolds