The differential equation $Δu = 8π- 8πh\exp {u}$ on a compact Riemann surface
| dc.creator | Ding, W. | |
| dc.creator | Jost, J. | |
| dc.creator | Li, J. | |
| dc.creator | Wang, G. | |
| dc.date | 1997-10-07 | |
| dc.date.accessioned | 2026-07-07T03:24:31Z | |
| dc.date.available | 2026-07-07T03:24:31Z | |
| dc.description | Let $M$ be a compact Riemann surface, $h(x)$ a positive smooth function on $M$. In this paper, we consider the functional $$J(u)={1/2}\int \sb{M}|\bigtriangledown u|\sp 2 + 8π\int\sb{M}u -8π\log\int\sb{M}h\exp {u}$$. We give a sufficient condition under which $J$ achieves its minimum. | |
| dc.description | 26 pages, Latex, to appear in Asian J. Math. 1(1997) No. 2 | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9710005 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9710005 | |
| dc.identifier | Asian J. Math. 1(1997) 230-248 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/33353 | |
| dc.subject | Differential Geometry | |
| dc.title | The differential equation $Δu = 8π- 8πh\exp {u}$ on a compact Riemann surface | |
| dc.type | text |