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 $\hat{I}\pounds$ into the $n$-dimensional sphere ${\mathbb{S}}^n$ with uniform bounded energy. Thes…