Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.02792 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918181397856256 |
|---|---|
| author | Liu, Lei Wei, Mingjun |
| author_facet | Liu, Lei Wei, Mingjun |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_02792 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Super-Liouville equation with a spinorial Yamabe type term Liu, Lei Wei, Mingjun Analysis of PDEs 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. |
| title | Super-Liouville equation with a spinorial Yamabe type term |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.02792 |