Super-Liouville equation with a spinorial Yamabe type term
Analysis of PDEs
2025-11-04 v2
Abstract
In this paper, we study the super-Liouville equation with a spinorial Yamabe type term, a natural generalization of Liouville equation, super-Liouville equation and spinorial Yamabe type equation. We establish some refined qualitative properties for such a blow-up sequence. In particular, we show energy identities not only for the spinor part but also for the function part. Moreover, the local masses at a blow-up point are also computed. A new phenomenon is that there are two kinds of singularities and local masses due to the nonlinear spinorial Yamabe type term, which is different from super-Liouville equation.
Cite
@article{arxiv.2510.02792,
title = {Super-Liouville equation with a spinorial Yamabe type term},
author = {Lei Liu and Mingjun Wei},
journal= {arXiv preprint arXiv:2510.02792},
year = {2025}
}
Comments
Add some detail proofs in Lemma 6.3