The aim of this paper is to study a nonlinear scalar eld equation on a surface via a Morse-theoretical approach, based on some of the methods in . Employing these ingredients, we derive an alternative and direct proof (plus a clear interpretation) of a degree formula obtained in , which used re ned blow-up estimates from  and . Related results are derived for the prescribed Q-curvature equation on four manifolds.
|Titolo:||Morse theory and a scalar field equation on compact surfaces|
|Data di pubblicazione:||2008|
|Appare nelle tipologie:||1.1 Articolo in rivista|